| Label |
Class |
Class size |
Class degree |
Base field |
Field degree |
Field signature |
Conductor |
Conductor norm |
Discriminant norm |
Root analytic conductor |
Bad primes |
Rank |
Torsion |
CM |
CM |
Sato-Tate |
$\Q$-curve |
Base change |
Semistable |
Potentially good |
Nonmax $\ell$ |
mod-$\ell$ images |
$Ш_{\textrm{an}}$ |
Tamagawa |
Regulator |
Period |
Leading coeff |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 144.1-CMa2 |
144.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{6} \) |
$0.53615$ |
$(-2a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$3$ |
3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.554057858$ |
0.491528664 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15\) , \( 22\bigr] \) |
${y}^2={x}^{3}-15{x}+22$ |
| 256.1-CMb2 |
256.1-CMb |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$0.61910$ |
$(2)$ |
0 |
$\Z/4\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$4.423757977$ |
0.638514464 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -4 a\) , \( 8 a - 4\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-4a{x}+8a-4$ |
| 256.1-CMa2 |
256.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
256.1 |
\( 2^{8} \) |
\( 2^{16} \) |
$0.61910$ |
$(2)$ |
0 |
$\Z/4\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$4.423757977$ |
0.638514464 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6 a - 5\) , \( -3 a - 1\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-3a-1$ |
| 784.1-CMa2 |
784.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
784.1 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{6} \) |
$0.81899$ |
$(-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.2.1 |
$1$ |
\( 2 \) |
$1$ |
$1.672023352$ |
0.965343132 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 16 a - 40\) , \( -52 a + 72\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-40\right){x}-52a+72$ |
| 784.3-CMa2 |
784.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
784.3 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{6} \) |
$0.81899$ |
$(3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$7$ |
7Cs.2.1 |
$1$ |
\( 2 \) |
$1$ |
$1.672023352$ |
0.965343132 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -14 a - 25\) , \( 67 a + 45\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-14a-25\right){x}+67a+45$ |
| 2304.1-CMa2 |
2304.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2304.1 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{6} \) |
$1.07231$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$2.554057858$ |
1.474585992 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15 a + 15\) , \( -22\bigr] \) |
${y}^2={x}^{3}+\left(-15a+15\right){x}-22$ |
| 4096.1-CMb2 |
4096.1-CMb |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4096.1 |
\( 2^{12} \) |
\( 2^{28} \) |
$1.23820$ |
$(2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$2.211878988$ |
1.277028929 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -19 a\) , \( 26 a - 13\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-19a{x}+26a-13$ |
| 4096.1-CMa2 |
4096.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4096.1 |
\( 2^{12} \) |
\( 2^{28} \) |
$1.23820$ |
$(2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$2.211878988$ |
1.277028929 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 21 a - 20\) , \( -46 a + 33\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(21a-20\right){x}-46a+33$ |
| 5776.1-CMb2 |
5776.1-CMb |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
5776.1 |
\( 2^{4} \cdot 19^{2} \) |
\( 2^{16} \cdot 19^{6} \) |
$1.34929$ |
$(-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$19$ |
19Cs.4.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.014879682$ |
1.757823174 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 106 a - 25\) , \( -75 a - 305\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(106a-25\right){x}-75a-305$ |
| 5776.3-CMb2 |
5776.3-CMb |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
5776.3 |
\( 2^{4} \cdot 19^{2} \) |
\( 2^{16} \cdot 19^{6} \) |
$1.34929$ |
$(-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$19$ |
19Cs.4.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.014879682$ |
1.757823174 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -104 a + 80\) , \( 180 a - 460\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-104a+80\right){x}+180a-460$ |
| 12544.1-CMd2 |
12544.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
12544.1 |
\( 2^{8} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{6} \) |
$1.63798$ |
$(-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$1.672023352$ |
0.965343132 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -39 a + 25\) , \( 67 a - 112\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-39a+25\right){x}+67a-112$ |
| 12544.3-CMd2 |
12544.3-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
12544.3 |
\( 2^{8} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{6} \) |
$1.63798$ |
$(3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$1.672023352$ |
0.965343132 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 41 a - 15\) , \( -27 a - 60\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(41a-15\right){x}-27a-60$ |
| 15376.1-CMa2 |
15376.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
15376.1 |
\( 2^{4} \cdot 31^{2} \) |
\( 2^{16} \cdot 31^{6} \) |
$1.72349$ |
$(-6a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$31$ |
31Cs.7.1 |
$1$ |
\( 2 \) |
$1$ |
$0.794530387$ |
0.458722333 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 121 a - 175\) , \( -731 a + 608\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(121a-175\right){x}-731a+608$ |
| 15376.3-CMa2 |
15376.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
15376.3 |
\( 2^{4} \cdot 31^{2} \) |
\( 2^{16} \cdot 31^{6} \) |
$1.72349$ |
$(6a-5), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$31$ |
31Cs.7.1 |
$1$ |
\( 2 \) |
$1$ |
$0.794530387$ |
0.458722333 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -119 a - 55\) , \( 851 a - 68\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-119a-55\right){x}+851a-68$ |
| 24336.1-CMa2 |
24336.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
24336.1 |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 13^{6} \) |
$1.93313$ |
$(-2a+1), (-4a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.708368197$ |
1.635906278 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -105 a - 120\) , \( 792 a + 374\bigr] \) |
${y}^2={x}^{3}+\left(-105a-120\right){x}+792a+374$ |
| 24336.3-CMa2 |
24336.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
24336.3 |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 13^{6} \) |
$1.93313$ |
$(-2a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.708368197$ |
1.635906278 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 105 a - 225\) , \( -792 a + 1166\bigr] \) |
${y}^2={x}^{3}+\left(105a-225\right){x}-792a+1166$ |
| 29584.1-CMa2 |
29584.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
29584.1 |
\( 2^{4} \cdot 43^{2} \) |
\( 2^{16} \cdot 43^{6} \) |
$2.02985$ |
$(-7a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$43$ |
43Cs.9.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.674616767$ |
1.168470516 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 176 a - 240\) , \( -1308 a + 1236\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(176a-240\right){x}-1308a+1236$ |
| 29584.3-CMa2 |
29584.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
29584.3 |
\( 2^{4} \cdot 43^{2} \) |
\( 2^{16} \cdot 43^{6} \) |
$2.02985$ |
$(7a-6), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$43$ |
43Cs.9.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.674616767$ |
1.168470516 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -174 a - 65\) , \( 1133 a - 137\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-174a-65\right){x}+1133a-137$ |
| 36864.1-CMb2 |
36864.1-CMb |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36864.1 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{6} \) |
$2.14462$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$1.277028929$ |
2.949171984 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -60 a + 60\) , \( -176\bigr] \) |
${y}^2={x}^{3}+\left(-60a+60\right){x}-176$ |
| 36864.1-CMa2 |
36864.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
36864.1 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{6} \) |
$2.14462$ |
$(-2a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.320036657$ |
$1.277028929$ |
3.775372582 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -60\) , \( 176\bigr] \) |
${y}^2={x}^{3}-60{x}+176$ |
| 43264.1-CMf2 |
43264.1-CMf |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43264.1 |
\( 2^{8} \cdot 13^{2} \) |
\( 2^{16} \cdot 13^{6} \) |
$2.23219$ |
$(-4a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.345339430$ |
$1.226929708$ |
3.914039518 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -74 a + 35\) , \( 133 a - 181\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-74a+35\right){x}+133a-181$ |
| 43264.1-CMe2 |
43264.1-CMe |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43264.1 |
\( 2^{8} \cdot 13^{2} \) |
\( 2^{16} \cdot 13^{6} \) |
$2.23219$ |
$(-4a+1), (2)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$1.226929708$ |
2.833472791 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 41 a - 75\) , \( -173 a + 256\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(41a-75\right){x}-173a+256$ |
| 43264.3-CMf2 |
43264.3-CMf |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43264.3 |
\( 2^{8} \cdot 13^{2} \) |
\( 2^{16} \cdot 13^{6} \) |
$2.23219$ |
$(4a-3), (2)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$1.226929708$ |
2.833472791 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -39 a - 35\) , \( 133 a + 48\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-39a-35\right){x}+133a+48$ |
| 43264.3-CMe2 |
43264.3-CMe |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
43264.3 |
\( 2^{8} \cdot 13^{2} \) |
\( 2^{16} \cdot 13^{6} \) |
$2.23219$ |
$(4a-3), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.345339430$ |
$1.226929708$ |
3.914039518 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 76 a - 40\) , \( -208 a - 8\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(76a-40\right){x}-208a-8$ |
| 71824.1-CMa2 |
71824.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
71824.1 |
\( 2^{4} \cdot 67^{2} \) |
\( 2^{16} \cdot 67^{6} \) |
$2.53377$ |
$(9a-7), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$67$ |
67Cs.4.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.540448054$ |
0.936083488 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 386 a - 225\) , \( -2333 a - 107\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(386a-225\right){x}-2333a-107$ |
| 71824.3-CMa2 |
71824.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
71824.3 |
\( 2^{4} \cdot 67^{2} \) |
\( 2^{16} \cdot 67^{6} \) |
$2.53377$ |
$(9a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$67$ |
67Cs.4.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.540448054$ |
0.936083488 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -384 a + 160\) , \( 1948 a - 2280\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-384a+160\right){x}+1948a-2280$ |
| 90000.1-CMa2 |
90000.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
90000.1 |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{12} \) |
$2.68077$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.510811571$ |
3.539006381 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -375\) , \( 2750\bigr] \) |
${y}^2={x}^{3}-375{x}+2750$ |
| 92416.1-CMd2 |
92416.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
92416.1 |
\( 2^{8} \cdot 19^{2} \) |
\( 2^{16} \cdot 19^{6} \) |
$2.69858$ |
$(-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$1.014879682$ |
0.585941058 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -24 a - 80\) , \( 180 a + 280\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-24a-80\right){x}+180a+280$ |
| 92416.3-CMd2 |
92416.3-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
92416.3 |
\( 2^{8} \cdot 19^{2} \) |
\( 2^{16} \cdot 19^{6} \) |
$2.69858$ |
$(-5a+2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$1.014879682$ |
0.585941058 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 26 a - 105\) , \( -155 a + 355\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(26a-105\right){x}-155a+355$ |
| 99856.1-CMa2 |
99856.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
99856.1 |
\( 2^{4} \cdot 79^{2} \) |
\( 2^{16} \cdot 79^{6} \) |
$2.75133$ |
$(10a-7), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$79$ |
79Cs.2.1 |
$9$ |
\( 2 \) |
$1$ |
$0.497711657$ |
2.586185635 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 456 a - 200\) , \( -1924 a - 1448\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(456a-200\right){x}-1924a-1448$ |
| 99856.3-CMa2 |
99856.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
99856.3 |
\( 2^{4} \cdot 79^{2} \) |
\( 2^{16} \cdot 79^{6} \) |
$2.75133$ |
$(10a-3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$79$ |
79Cs.2.1 |
$9$ |
\( 2 \) |
$1$ |
$0.497711657$ |
2.586185635 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -454 a + 255\) , \( 2379 a - 3627\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-454a+255\right){x}+2379a-3627$ |
| 112896.1-CMe2 |
112896.1-CMe |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.965343132$ |
2.229364470 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 120 a - 75\) , \( -396 a - 22\bigr] \) |
${y}^2={x}^{3}+\left(120a-75\right){x}-396a-22$ |
| 112896.1-CMd2 |
112896.1-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.1 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.965343132$ |
2.229364470 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -75 a - 45\) , \( 396 a + 22\bigr] \) |
${y}^2={x}^{3}+\left(-75a-45\right){x}+396a+22$ |
| 112896.3-CMe2 |
112896.3-CMe |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.3 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.965343132$ |
2.229364470 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -120 a + 45\) , \( 396 a - 418\bigr] \) |
${y}^2={x}^{3}+\left(-120a+45\right){x}+396a-418$ |
| 112896.3-CMd2 |
112896.3-CMd |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
112896.3 |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{6} \) |
$2.83706$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$0.965343132$ |
2.229364470 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 75 a - 120\) , \( -396 a + 418\bigr] \) |
${y}^2={x}^{3}+\left(75a-120\right){x}-396a+418$ |
| 132496.1-CMc2 |
132496.1-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
132496.1 |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 7^{6} \cdot 13^{6} \) |
$2.95291$ |
$(-3a+1), (-4a+1), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \cdot 3 \) |
$0.446237968$ |
$0.463735840$ |
5.734793607 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -54 a - 425\) , \( 843 a + 3421\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-54a-425\right){x}+843a+3421$ |
| 132496.3-CMc2 |
132496.3-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
132496.3 |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 7^{6} \cdot 13^{6} \) |
$2.95291$ |
$(-3a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.463735840$ |
3.212856150 |
\( 54000 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 401 a - 495\) , \( -4189 a + 3332\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(401a-495\right){x}-4189a+3332$ |
| 132496.7-CMc2 |
132496.7-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
132496.7 |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 7^{6} \cdot 13^{6} \) |
$2.95291$ |
$(3a-2), (-4a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.463735840$ |
3.212856150 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -399 a - 95\) , \( 3789 a - 952\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-399a-95\right){x}+3789a-952$ |
| 132496.9-CMc2 |
132496.9-CMc |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
132496.9 |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 7^{6} \cdot 13^{6} \) |
$2.95291$ |
$(3a-2), (4a-3), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \cdot 3 \) |
$0.446237968$ |
$0.463735840$ |
5.734793607 |
\( 54000 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 56 a - 480\) , \( -788 a + 3784\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(56a-480\right){x}-788a+3784$ |
*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
