| 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 |
| 4830.o1 |
4830q3 |
4830.o |
4830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$0.935526220$ |
$1$ |
|
$4$ |
$122880$ |
$2.289242$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00430$ |
$[1, 0, 1, -491963, -75523594]$ |
\(y^2+xy+y=x^3-491963x-75523594\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 138.6.0.?, 276.24.0.?, $\ldots$ |
$[(800, 6162)]$ |
| 14490.bo1 |
14490bp3 |
14490.bo |
14490bp |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$983040$ |
$2.838547$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00381$ |
$[1, -1, 1, -4427663, 2039137031]$ |
\(y^2+xy+y=x^3-x^2-4427663x+2039137031\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 24150.bl1 |
24150bn4 |
24150.bl |
24150bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{26} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2949120$ |
$3.093960$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00361$ |
$[1, 1, 1, -12299063, -9440449219]$ |
\(y^2+xy+y=x^3+x^2-12299063x-9440449219\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[]$ |
| 33810.c1 |
33810m4 |
33810.c |
33810m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{20} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$17.57711170$ |
$1$ |
|
$0$ |
$5898240$ |
$3.262196$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00350$ |
$[1, 1, 0, -24106163, 25880486493]$ |
\(y^2+xy=x^3+x^2-24106163x+25880486493\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 138.6.0.?, $\ldots$ |
$[(298851367/37, 5159524248365/37)]$ |
| 38640.be1 |
38640bv4 |
38640.be |
38640bv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$4.424765079$ |
$1$ |
|
$7$ |
$2949120$ |
$2.982388$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.60970$ |
$[0, -1, 0, -7871400, 4833510000]$ |
\(y^2=x^3-x^2-7871400x+4833510000\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 138.6.0.?, 276.24.0.?, $\ldots$ |
$[(-220, 80960)]$ |
| 72450.z1 |
72450bh4 |
72450.z |
72450bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{26} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$5.314921947$ |
$1$ |
|
$2$ |
$23592960$ |
$3.643265$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00326$ |
$[1, -1, 0, -110691567, 254781437341]$ |
\(y^2+xy=x^3-x^2-110691567x+254781437341\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(809, 406733)]$ |
| 101430.fj1 |
101430ey4 |
101430.fj |
101430ey |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{20} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.933747400$ |
$1$ |
|
$4$ |
$47185920$ |
$3.811501$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00316$ |
$[1, -1, 1, -216955472, -698990090781]$ |
\(y^2+xy+y=x^3-x^2-216955472x-698990090781\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 84.12.0.?, 138.6.0.?, $\ldots$ |
$[(-5073, 523161)]$ |
| 111090.x1 |
111090w4 |
111090.x |
111090w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$17.10421496$ |
$1$ |
|
$0$ |
$64880640$ |
$3.856987$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00314$ |
$[1, 0, 1, -260248174, 918375068816]$ |
\(y^2+xy+y=x^3-260248174x+918375068816\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 92.12.0.?, $\ldots$ |
$[(-2248501506/377, 56010027982973/377)]$ |
| 115920.e1 |
115920df4 |
115920.e |
115920df |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23592960$ |
$3.531693$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.64647$ |
$[0, 0, 0, -70842603, -130433927398]$ |
\(y^2=x^3-70842603x-130433927398\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 154560.bx1 |
154560ho4 |
154560.bx |
154560ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$11.83698371$ |
$4$ |
$2$ |
$1$ |
$23592960$ |
$3.328960$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.30691$ |
$[0, -1, 0, -31485601, -38636594399]$ |
\(y^2=x^3-x^2-31485601x-38636594399\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 138.6.0.?, $\ldots$ |
$[(353925/2, 210124733/2)]$ |
| 154560.ej1 |
154560bw3 |
154560.ej |
154560bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$39.76703799$ |
$1$ |
|
$1$ |
$23592960$ |
$3.328960$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.30691$ |
$[0, 1, 0, -31485601, 38636594399]$ |
\(y^2=x^3+x^2-31485601x+38636594399\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 138.6.0.?, $\ldots$ |
$[(324294631847708965/5434281, 161859661375715998099665452/5434281)]$ |
| 169050.hd1 |
169050w3 |
169050.hd |
169050w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{26} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$141557760$ |
$4.066917$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00303$ |
$[1, 0, 0, -602654088, 3236266119792]$ |
\(y^2+xy=x^3-602654088x+3236266119792\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 138.6.0.?, $\ldots$ |
$[]$ |
| 193200.hm1 |
193200bs3 |
193200.hm |
193200bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{26} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$30.28790040$ |
$1$ |
|
$1$ |
$70778880$ |
$3.787106$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.66131$ |
$[0, 1, 0, -196785008, 603795179988]$ |
\(y^2=x^3+x^2-196785008x+603795179988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[(29465960889393/48212, 42897911431172630511/48212)]$ |
| 270480.gw1 |
270480gw4 |
270480.gw |
270480gw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{20} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$141557760$ |
$3.955341$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.67042$ |
$[0, 1, 0, -385698616, -1657122532780]$ |
\(y^2=x^3+x^2-385698616x-1657122532780\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.ba.1, 138.6.0.?, $\ldots$ |
$[]$ |
| 333270.ec1 |
333270ec4 |
333270.ec |
333270ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{20} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$3.055454763$ |
$1$ |
|
$4$ |
$519045120$ |
$4.406296$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$6.00287$ |
$[1, -1, 1, -2342233562, -24796126858039]$ |
\(y^2+xy+y=x^3-x^2-2342233562x-24796126858039\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.5, 138.6.0.?, 276.24.0.?, $\ldots$ |
$[(55831, 4268959)]$ |
| 463680.kq1 |
463680kq4 |
463680.kq |
463680kq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$6.979704713$ |
$1$ |
|
$1$ |
$188743680$ |
$3.878269$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.36527$ |
$[0, 0, 0, -283370412, -1043471419184]$ |
\(y^2=x^3-283370412x-1043471419184\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(291568/3, 131657500/3)]$ |
| 463680.lo1 |
463680lo3 |
463680.lo |
463680lo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3^{7} \cdot 5^{20} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$188743680$ |
$3.878269$ |
$13167998447866683762601/5158996582031250000$ |
$1.06561$ |
$5.36527$ |
$[0, 0, 0, -283370412, 1043471419184]$ |
\(y^2=x^3-283370412x+1043471419184\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
