| 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 |
| 10920.n2 |
10920o2 |
10920.n |
10920o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$2.055877104$ |
$1$ |
|
$9$ |
$43008$ |
$1.562029$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.90923$ |
$[0, 1, 0, -84516, 9422784]$ |
\(y^2=x^3+x^2-84516x+9422784\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 60.24.0-60.a.1.3, $\ldots$ |
$[(2, 3042)]$ |
| 21840.o2 |
21840c2 |
21840.o |
21840c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$86016$ |
$1.562029$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.56865$ |
$[0, -1, 0, -84516, -9422784]$ |
\(y^2=x^3-x^2-84516x-9422784\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 60.24.0-60.a.1.4, $\ldots$ |
$[]$ |
| 32760.y2 |
32760p2 |
32760.y |
32760p |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$2.777540234$ |
$1$ |
|
$7$ |
$344064$ |
$2.111336$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.02448$ |
$[0, 0, 0, -760647, -255175814]$ |
\(y^2=x^3-760647x-255175814\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[(1187, 22680)]$ |
| 54600.bf2 |
54600l2 |
54600.bf |
54600l |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$2.554231759$ |
$1$ |
|
$9$ |
$1032192$ |
$2.366749$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.07017$ |
$[0, -1, 0, -2112908, 1182073812]$ |
\(y^2=x^3-x^2-2112908x+1182073812\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[(818, 624)]$ |
| 65520.eg2 |
65520bl2 |
65520.eg |
65520bl |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$688128$ |
$2.111336$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.71045$ |
$[0, 0, 0, -760647, 255175814]$ |
\(y^2=x^3-760647x+255175814\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[]$ |
| 76440.bk2 |
76440ci2 |
76440.bk |
76440ci |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1.346943438$ |
$1$ |
|
$11$ |
$2064384$ |
$2.534985$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.09799$ |
$[0, -1, 0, -4141300, -3240297500]$ |
\(y^2=x^3-x^2-4141300x-3240297500\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.6, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[(-1160, 1170)]$ |
| 87360.by2 |
87360ba2 |
87360.by |
87360ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$0.490385637$ |
$1$ |
|
$19$ |
$688128$ |
$1.908602$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.37753$ |
$[0, -1, 0, -338065, 75720337]$ |
\(y^2=x^3-x^2-338065x+75720337\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0-2.a.1.1, 60.12.0.a.1, $\ldots$ |
$[(304, 975)]$ |
| 87360.hf2 |
87360hf2 |
87360.hf |
87360hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$688128$ |
$1.908602$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.37753$ |
$[0, 1, 0, -338065, -75720337]$ |
\(y^2=x^3+x^2-338065x-75720337\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0-2.a.1.1, 60.12.0.a.1, $\ldots$ |
$[]$ |
| 109200.eb2 |
109200bs2 |
109200.eb |
109200bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$7.489998536$ |
$1$ |
|
$5$ |
$2064384$ |
$2.366749$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.76723$ |
$[0, 1, 0, -2112908, -1182073812]$ |
\(y^2=x^3+x^2-2112908x-1182073812\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[(41614, 8483904)]$ |
| 141960.ci2 |
141960bf2 |
141960.ci |
141960bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7225344$ |
$2.844501$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.14506$ |
$[0, 1, 0, -14283260, 20758989408]$ |
\(y^2=x^3+x^2-14283260x+20758989408\) |
2.6.0.a.1, 60.12.0.a.1, 84.12.0.?, 140.12.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 152880.gn2 |
152880fo2 |
152880.gn |
152880fo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1.574732112$ |
$1$ |
|
$9$ |
$4128768$ |
$2.534985$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.80198$ |
$[0, 1, 0, -4141300, 3240297500]$ |
\(y^2=x^3+x^2-4141300x+3240297500\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.6, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[(835, 19110)]$ |
| 163800.de2 |
163800v2 |
163800.de |
163800v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$3.026139316$ |
$1$ |
|
$9$ |
$8257536$ |
$2.916054$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.15525$ |
$[0, 0, 0, -19016175, -31896976750]$ |
\(y^2=x^3-19016175x-31896976750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.2, 60.24.0-60.a.1.4, $\ldots$ |
$[(-2479, 3094)]$ |
| 229320.n2 |
229320dq2 |
229320.n |
229320dq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$16515072$ |
$3.084290$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.17828$ |
$[0, 0, 0, -37271703, 87525304202]$ |
\(y^2=x^3-37271703x+87525304202\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 28.12.0-2.a.1.1, 60.24.0-60.a.1.8, $\ldots$ |
$[]$ |
| 262080.db2 |
262080db2 |
262080.db |
262080db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$3.712666420$ |
$1$ |
|
$7$ |
$5505024$ |
$2.457909$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.52039$ |
$[0, 0, 0, -3042588, -2041406512]$ |
\(y^2=x^3-3042588x-2041406512\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(4822, 308880)]$ |
| 262080.eh2 |
262080eh2 |
262080.eh |
262080eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.538471817$ |
$1$ |
|
$11$ |
$5505024$ |
$2.457909$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.52039$ |
$[0, 0, 0, -3042588, 2041406512]$ |
\(y^2=x^3-3042588x+2041406512\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(482, 26208)]$ |
| 283920.ct2 |
283920ct2 |
283920.ct |
283920ct |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$14450688$ |
$2.844501$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.86104$ |
$[0, -1, 0, -14283260, -20758989408]$ |
\(y^2=x^3-x^2-14283260x-20758989408\) |
2.6.0.a.1, 60.12.0.a.1, 84.12.0.?, 140.12.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 327600.gb2 |
327600gb2 |
327600.gb |
327600gb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$3.175988350$ |
$1$ |
|
$7$ |
$16515072$ |
$2.916054$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.87387$ |
$[0, 0, 0, -19016175, 31896976750]$ |
\(y^2=x^3-19016175x+31896976750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.2, 60.24.0-60.a.1.3, $\ldots$ |
$[(2609, 6552)]$ |
| 382200.jd2 |
382200jd2 |
382200.jd |
382200jd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$28.61024366$ |
$1$ |
|
$3$ |
$49545216$ |
$3.339703$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.21094$ |
$[0, 1, 0, -103532508, -405244252512]$ |
\(y^2=x^3+x^2-103532508x-405244252512\) |
2.6.0.a.1, 12.12.0-2.a.1.2, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 60.24.0-60.a.1.7, $\ldots$ |
$[(156961422517272/48551, 1942034156835988397112/48551)]$ |
| 425880.co2 |
425880co2 |
425880.co |
425880co |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$57802752$ |
$3.393810$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$5.21752$ |
$[0, 0, 0, -128549343, -560621263358]$ |
\(y^2=x^3-128549343x-560621263358\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 436800.el2 |
436800el2 |
436800.el |
436800el |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$16515072$ |
$2.713322$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.57859$ |
$[0, -1, 0, -8451633, -9448138863]$ |
\(y^2=x^3-x^2-8451633x-9448138863\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 436800.pu2 |
436800pu2 |
436800.pu |
436800pu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$6.244888327$ |
$1$ |
|
$5$ |
$16515072$ |
$2.713322$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.57859$ |
$[0, 1, 0, -8451633, 9448138863]$ |
\(y^2=x^3+x^2-8451633x+9448138863\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(57893, 13912500)]$ |
| 458640.ge2 |
458640ge2 |
458640.ge |
458640ge |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$33030144$ |
$3.084290$ |
$260798860029250384/196803140625$ |
$0.95669$ |
$4.90294$ |
$[0, 0, 0, -37271703, -87525304202]$ |
\(y^2=x^3-37271703x-87525304202\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 28.12.0-2.a.1.1, 60.24.0-60.a.1.8, $\ldots$ |
$[]$ |
