| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 1526.a1 |
1526d1 |
1526.a |
1526d |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{10} \cdot 7^{4} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$436$ |
$2$ |
$0$ |
$0.177063761$ |
$1$ |
|
$6$ |
$480$ |
$0.303054$ |
$203193766439/267990016$ |
$0.88798$ |
$3.58555$ |
$[1, 0, 1, 122, 600]$ |
\(y^2+xy+y=x^3+122x+600\) |
436.2.0.? |
$[(21, 101)]$ |
| 1526.b1 |
1526c1 |
1526.b |
1526c |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{5} \cdot 7 \cdot 109 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$54936$ |
$144$ |
$3$ |
$9.235116999$ |
$1$ |
|
$2$ |
$1440$ |
$0.742906$ |
$-354860325907583833/24416$ |
$0.95977$ |
$5.51272$ |
$[1, 0, 1, -14750, 688240]$ |
\(y^2+xy+y=x^3-14750x+688240\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 6104.2.0.?, 6867.72.0.?, 18312.16.0.?, $\ldots$ |
$[(-3728/9, 837991/9)]$ |
| 1526.b2 |
1526c2 |
1526.b |
1526c |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{15} \cdot 7^{3} \cdot 109^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$54936$ |
$144$ |
$3$ |
$3.078372333$ |
$1$ |
|
$4$ |
$4320$ |
$1.292212$ |
$-344497163058771913/14555380023296$ |
$0.96050$ |
$5.51829$ |
$[1, 0, 1, -14605, 702472]$ |
\(y^2+xy+y=x^3-14605x+702472\) |
3.24.0-3.a.1.1, 6104.2.0.?, 6867.72.0.?, 18312.48.1.?, 54936.144.3.? |
$[(86, 247)]$ |
| 1526.b3 |
1526c3 |
1526.b |
1526c |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{45} \cdot 7 \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$54936$ |
$144$ |
$3$ |
$9.235116999$ |
$1$ |
|
$0$ |
$12960$ |
$1.841518$ |
$43271018316386142407/26845675903778816$ |
$1.01097$ |
$6.16801$ |
$[1, 0, 1, 73140, 2049930]$ |
\(y^2+xy+y=x^3+73140x+2049930\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 6104.2.0.?, 6867.72.0.?, 18312.16.0.?, $\ldots$ |
$[(-65/6, 299219/6)]$ |
| 1526.c1 |
1526b1 |
1526.c |
1526b |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2 \cdot 7 \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6104$ |
$2$ |
$0$ |
$2.140200851$ |
$1$ |
|
$2$ |
$96$ |
$-0.512792$ |
$-594823321/1526$ |
$0.92273$ |
$2.75676$ |
$[1, 0, 1, -18, -30]$ |
\(y^2+xy+y=x^3-18x-30\) |
6104.2.0.? |
$[(6, 6)]$ |
| 1526.d1 |
1526a2 |
1526.d |
1526a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 109 \) |
\( 2 \cdot 7^{14} \cdot 109^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21952$ |
$1.843107$ |
$145492485181746492889/16115936657037938$ |
$0.98756$ |
$6.33344$ |
$[1, 1, 0, -109573, 12508035]$ |
\(y^2+xy=x^3+x^2-109573x+12508035\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 1526.d2 |
1526a1 |
1526.d |
1526a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{2} \cdot 7^{7} \cdot 109^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10976$ |
$1.496532$ |
$87145120974372551/464999261537692$ |
$0.98190$ |
$5.60855$ |
$[1, 1, 0, 9237, 983465]$ |
\(y^2+xy=x^3+x^2+9237x+983465\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 1526.e1 |
1526f1 |
1526.e |
1526f |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{11} \cdot 7 \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6104$ |
$2$ |
$0$ |
$0.130724975$ |
$1$ |
|
$8$ |
$176$ |
$-0.129387$ |
$-148035889/1562624$ |
$0.96973$ |
$2.96982$ |
$[1, 1, 1, -11, 57]$ |
\(y^2+xy+y=x^3+x^2-11x+57\) |
6104.2.0.? |
$[(3, 6)]$ |
| 1526.f1 |
1526e2 |
1526.f |
1526e |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2 \cdot 7 \cdot 109^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$30520$ |
$48$ |
$1$ |
$12.33981821$ |
$1$ |
|
$0$ |
$2000$ |
$0.977832$ |
$-14327836828683841/215407353686$ |
$0.94382$ |
$5.07839$ |
$[1, 1, 1, -5060, -142437]$ |
\(y^2+xy+y=x^3+x^2-5060x-142437\) |
5.24.0-5.a.2.2, 6104.2.0.?, 30520.48.1.? |
$[(191191/30, 75493021/30)]$ |
| 1526.f2 |
1526e1 |
1526.f |
1526e |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{5} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$30520$ |
$48$ |
$1$ |
$2.467963643$ |
$1$ |
|
$8$ |
$400$ |
$0.173113$ |
$13806727199/58622816$ |
$0.87963$ |
$3.43703$ |
$[1, 1, 1, 50, 363]$ |
\(y^2+xy+y=x^3+x^2+50x+363\) |
5.24.0-5.a.1.2, 6104.2.0.?, 30520.48.1.? |
$[(21, 95)]$ |
| 1526.g1 |
1526g1 |
1526.g |
1526g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{2} \cdot 7^{8} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$436$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2112$ |
$0.830054$ |
$-21578058824515201/2513453236$ |
$1.01087$ |
$5.13077$ |
$[1, 1, 1, -5800, -172451]$ |
\(y^2+xy+y=x^3+x^2-5800x-172451\) |
436.2.0.? |
$[]$ |
