| 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 |
| 4290.v3 |
4290u2 |
4290.v |
4290u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2322432$ |
$3.788517$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.93302$ |
$[1, 1, 1, -1364688305, 19403731837775]$ |
\(y^2+xy+y=x^3+x^2-1364688305x+19403731837775\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 156.24.0.?, 1560.48.0.? |
$[]$ |
| 12870.k3 |
12870o2 |
12870.k |
12870o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{24} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$2$ |
$18579456$ |
$4.337822$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.59250$ |
$[1, -1, 0, -12282194745, -523913041814675]$ |
\(y^2+xy=x^3-x^2-12282194745x-523913041814675\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 21450.u3 |
21450x2 |
21450.u |
21450x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{12} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$55738368$ |
$4.593239$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.45972$ |
$[1, 0, 1, -34117207626, 2425534714137148]$ |
\(y^2+xy+y=x^3-34117207626x+2425534714137148\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 156.12.0.?, $\ldots$ |
$[]$ |
| 34320.ca3 |
34320cm2 |
34320.ca |
34320cm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$55738368$ |
$4.481667$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.95079$ |
$[0, 1, 0, -21835012880, -1241882507643372]$ |
\(y^2=x^3+x^2-21835012880x-1241882507643372\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 156.24.0.?, 1560.48.0.? |
$[]$ |
| 47190.i3 |
47190s2 |
47190.i |
47190s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{6} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$29.81262089$ |
$1$ |
|
$2$ |
$278691840$ |
$4.987465$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.27951$ |
$[1, 1, 0, -165127284907, -25827192712503299]$ |
\(y^2+xy=x^3+x^2-165127284907x-25827192712503299\) |
2.6.0.a.1, 40.12.0.a.1, 44.12.0-2.a.1.1, 156.12.0.?, 440.24.0.?, $\ldots$ |
$[(3910048387041133/28407, 243552131112962230182337/28407)]$ |
| 55770.a3 |
55770g2 |
55770.a |
55770g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$390168576$ |
$5.070992$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.24467$ |
$[1, 1, 0, -230632323548, 42631152009209808]$ |
\(y^2+xy=x^3+x^2-230632323548x+42631152009209808\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 64350.cu3 |
64350en2 |
64350.cu |
64350en |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{24} \cdot 5^{12} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$445906944$ |
$5.142540$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.21565$ |
$[1, -1, 1, -307054868630, -65489437281703003]$ |
\(y^2+xy+y=x^3-x^2-307054868630x-65489437281703003\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 102960.h3 |
102960dm2 |
102960.h |
102960dm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{24} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$445906944$ |
$5.030968$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.76511$ |
$[0, 0, 0, -196515115923, 33530631191255122]$ |
\(y^2=x^3-196515115923x+33530631191255122\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 137280.c3 |
137280cz2 |
137280.c |
137280cz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{32} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$3$ |
$445906944$ |
$4.828239$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.37062$ |
$[0, -1, 0, -87340051521, -9934972721095455]$ |
\(y^2=x^3-x^2-87340051521x-9934972721095455\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 156.12.0.?, $\ldots$ |
$[]$ |
| 137280.fm3 |
137280fr2 |
137280.fm |
137280fr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{32} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$4.561086825$ |
$1$ |
|
$7$ |
$445906944$ |
$4.828239$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.37062$ |
$[0, 1, 0, -87340051521, 9934972721095455]$ |
\(y^2=x^3+x^2-87340051521x+9934972721095455\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 156.12.0.?, $\ldots$ |
$[(172122, 1068375)]$ |
| 141570.cp3 |
141570bd2 |
141570.cp |
141570bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{24} \cdot 5^{6} \cdot 11^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$2229534720$ |
$5.536774$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.06836$ |
$[1, -1, 1, -1486145564168, 697332717092024907]$ |
\(y^2+xy+y=x^3-x^2-1486145564168x+697332717092024907\) |
2.6.0.a.1, 40.12.0.a.1, 132.12.0.?, 156.12.0.?, 572.12.0.?, $\ldots$ |
$[]$ |
| 167310.em3 |
167310b2 |
167310.em |
167310b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{24} \cdot 5^{6} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$3121348608$ |
$5.620300$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$8.03964$ |
$[1, -1, 1, -2075690911937, -1151043179939576751]$ |
\(y^2+xy+y=x^3-x^2-2075690911937x-1151043179939576751\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.6, 156.24.0.?, 1560.48.0.? |
$[]$ |
| 171600.dw3 |
171600ez2 |
171600.dw |
171600ez |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{18} \cdot 5^{12} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$92.98588654$ |
$1$ |
|
$3$ |
$1337720832$ |
$5.286385$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.69030$ |
$[0, -1, 0, -545875322008, -155234221704777488]$ |
\(y^2=x^3-x^2-545875322008x-155234221704777488\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 156.12.0.?, $\ldots$ |
$[(31670852338074546468045896193136067664560172/1786424238409542859, 177724793026764324966541653465896991384456913167118341940257152000/1786424238409542859)]$ |
| 210210.el3 |
210210bi2 |
210210.el |
210210bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{6} \cdot 7^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$668860416$ |
$4.761475$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.04901$ |
$[1, 0, 0, -66869726946, -6655680629537724]$ |
\(y^2+xy=x^3-66869726946x-6655680629537724\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 156.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
| 235950.iz3 |
235950iz2 |
235950.iz |
235950iz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{12} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$11.34442234$ |
$1$ |
|
$2$ |
$6688604160$ |
$5.792183$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.98296$ |
$[1, 0, 0, -4128182122688, -3228390832698667008]$ |
\(y^2+xy=x^3-4128182122688x-3228390832698667008\) |
2.6.0.a.1, 40.12.0.a.1, 88.12.0.?, 156.12.0.?, 220.12.0.?, $\ldots$ |
$[(-141860672/11, -503687488/11)]$ |
| 278850.jf3 |
278850jf2 |
278850.jf |
278850jf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{12} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9364045824$ |
$5.875710$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.95654$ |
$[1, 0, 0, -5765808088713, 5328905532767403417]$ |
\(y^2+xy=x^3-5765808088713x+5328905532767403417\) |
2.6.0.a.1, 24.12.0-2.a.1.2, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 377520.hv3 |
377520hv2 |
377520.hv |
377520hv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{26} \cdot 3^{18} \cdot 5^{6} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$5.477713325$ |
$1$ |
|
$7$ |
$6688604160$ |
$5.680611$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.58652$ |
$[0, 1, 0, -2642036558520, 1652935049527094100]$ |
\(y^2=x^3+x^2-2642036558520x+1652935049527094100\) |
2.6.0.a.1, 40.12.0.a.1, 44.12.0-2.a.1.1, 156.12.0.?, 440.24.0.?, $\ldots$ |
$[(3698790, 6517969920)]$ |
| 411840.hm3 |
411840hm2 |
411840.hm |
411840hm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{32} \cdot 3^{24} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$8.541156892$ |
$1$ |
|
$5$ |
$3567255552$ |
$5.377541$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.25415$ |
$[0, 0, 0, -786060463692, 268245049530040976]$ |
\(y^2=x^3-786060463692x+268245049530040976\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(-319808, 697799700)]$ |
| 411840.ne3 |
411840ne2 |
411840.ne |
411840ne |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{32} \cdot 3^{24} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$98.48076089$ |
$1$ |
|
$3$ |
$3567255552$ |
$5.377541$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.25415$ |
$[0, 0, 0, -786060463692, -268245049530040976]$ |
\(y^2=x^3-786060463692x-268245049530040976\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(1446054016809374852072197459113666780070410312/1496614317287989733, 54989068702629466683119725679974437241652535609313612283770742867500/1496614317287989733)]$ |
| 446160.gl3 |
446160gl2 |
446160.gl |
446160gl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{26} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$48.68264880$ |
$1$ |
|
$3$ |
$9364045824$ |
$5.764137$ |
$281076231077501634961715630808721/245403072288481536000000$ |
$1.05789$ |
$7.56614$ |
$[0, 1, 0, -3690117176776, -2728401108823781260]$ |
\(y^2=x^3+x^2-3690117176776x-2728401108823781260\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(18625007656570333903665485/1703097238, 76262998791147509991519755258611603365/1703097238)]$ |
