Cremona's table of elliptic curves

23520 = 2⁵ · 3 · 5 · 7²

Class	r	Atkin-Lehner	Eigenvalues
23520a (1 curve)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+ -5  1 -8  5
Curve Equation t Generators 23520a1 [0,-1,0,-16,-1784] 1 [13:6:1]
23520b (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  2  4  2  6
Curve Equation t 23520b1 [0,-1,0,-10306,-329300] 2 23520b2 [0,-1,0,20319,-1940175] 2
23520c (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -2  2  0 -4
Curve Equation t 23520c1 [0,-1,0,-1486,-19424] 2 23520c2 [0,-1,0,1944,-99000] 2
23520d (4 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -4  2  2  0
Curve Equation t 23520d1 [0,-1,0,-2466,-21384] 4 23520d2 [0,-1,0,8559,-169119] 2 23520d3 [0,-1,0,-19616,1048776] 2 23520d4 [0,-1,0,-33336,-2330460] 2
23520e (2 curves)	2	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -6 -4  2 -4
Curve Equation t Generators 23520e1 [0,-1,0,-86,36] 2 [-2:14:1]&[0:6:1] 23520e2 [0,-1,0,-961,11761] 2 [-35:36:1]&[-9:140:1]
23520f (1 curve)	0	2+ 3+ 5- 7+	2+ 3+ 5- 7+ -3 -1  4 -1
Curve Equation t 23520f1 [0,-1,0,-179160,-29129148] 1
23520g (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  2  0  6  6
Curve Equation t Generators 23520g1 [0,-1,0,-1290,18012] 2 [14:50:1] 23520g2 [0,-1,0,-65,49617] 2 [-23:196:1]
23520h (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  2 -2  0 -4
Curve Equation t Generators 23520h1 [0,-1,0,-30,-48] 2 [7:6:1] 23520h2 [0,-1,0,40,-300] 2 [12:42:1]
23520i (4 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  4 -2  2 -8
Curve Equation t Generators 23520i1 [0,-1,0,-310,-608] 4 [-8:36:1] 23520i2 [0,-1,0,1160,-5900] 2 [12:98:1] 23520i3 [0,-1,0,-2760,56232] 2 [426:1917:8] 23520i4 [0,-1,0,-3985,-95423] 2 [586:147:8]
23520j (4 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -4 -2  2  0
Curve Equation t Generators 23520j1 [0,-1,0,-211990,30643600] 4 [-320:8100:1] 23520j2 [0,-1,0,436280,180782932] 2 [1244:51450:1] 23520j3 [0,-1,0,-1038865,-379651775] 2 [-565:5160:1] 23520j4 [0,-1,0,-3213240,2217954600] 2 [21450:907605:8]
23520k (4 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -4  6 -6  0
Curve Equation t Generators 23520k1 [0,-1,0,-972470,-368707968] 4 [-238072953928:-17225835516:423564751] 23520k2 [0,-1,0,-853400,-462487500] 2 [821700:1839950:729] 23520k3 [0,-1,0,-1092520,-271803608] 2 [3830528301864098982506:-16460548496034567341157:3297848961430316168] 23520k4 [0,-1,0,-15558545,-23615994303] 2 [-7566174163022158197369:1101056888900335032:3322870470929756053]
23520l (4 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -4 -6 -2  4
Curve Equation t Generators 23520l1 [0,-1,0,-11090,444312] 4 [14:540:1] 23520l2 [0,-1,0,1160,1360612] 2 [89:1470:1] 23520l3 [0,-1,0,-24320,-804600] 2 [-35:50:1] 23520l4 [0,-1,0,-176465,28591137] 2 [259:440:1]
23520m (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  0 -2  2  4
Curve Equation t Generators 23520m1 [0,1,0,-43626,-3411360] 4 [-123:330:1] 23520m2 [0,1,0,16399,-12018945] 2 [289:4116:1] 23520m3 [0,1,0,-109776,9315900] 2 [759:19074:1] 23520m4 [0,1,0,-691896,-221748696] 2 [8010:75999:8]
23520n (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  0 -2 -6  4
Curve Equation t Generators 23520n1 [0,1,0,-506,3744] 4 [-11:90:1] 23520n2 [0,1,0,719,20159] 2 [2:147:1] 23520n3 [0,1,0,-1976,-30360] 2 [618:4263:8] 23520n4 [0,1,0,-7856,265404] 2 [87:498:1]
23520o (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  2  2  0  4
Curve Equation t Generators 23520o1 [0,1,0,-1486,19424] 2 [939:2834:27] 23520o2 [0,1,0,1944,99000] 2 [102:1170:1]
23520p (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -2  4  2 -6
Curve Equation t Generators 23520p1 [0,1,0,-10306,329300] 2 [-88:750:1] 23520p2 [0,1,0,20319,1940175] 2 [51:1764:1]
23520q (1 curve)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -3  1 -4  1
Curve Equation t Generators 23520q1 [0,1,0,-3656,83880] 1 [34:6:1]
23520r (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4  2  2 -8
Curve Equation t Generators 23520r1 [0,1,0,-257266,50128784] 4 [-211:9750:1] 23520r2 [0,1,0,-226641,62544159] 2 [177:5292:1] 23520r3 [0,1,0,-288136,37311560] 2 [11818:426153:8] 23520r4 [0,1,0,-4116016,3212760284] 2 [1847:43758:1]
23520s (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -2  0  6 -6
Curve Equation t 23520s1 [0,1,0,-1290,-18012] 2 23520s2 [0,1,0,-65,-49617] 2
23520t (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -2 -2  0  4
Curve Equation t 23520t1 [0,1,0,-30,48] 2 23520t2 [0,1,0,40,300] 2
23520u (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4  2  2  4
Curve Equation t 23520u1 [0,1,0,-993050,-380190000] 4 23520u2 [0,1,0,-576305,-701333697] 2 23520u3 [0,1,0,-1421800,-20383000] 4 23520u4 [0,1,0,-15876800,-24354934500] 2
23520v (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4 -2  2  0
Curve Equation t 23520v1 [0,1,0,-211990,-30643600] 4 23520v2 [0,1,0,436280,-180782932] 2 23520v3 [0,1,0,-1038865,379651775] 2 23520v4 [0,1,0,-3213240,-2217954600] 2
23520w (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4  6 -6  0
Curve Equation t 23520w1 [0,1,0,-972470,368707968] 4 23520w2 [0,1,0,-853400,462487500] 2 23520w3 [0,1,0,-1092520,271803608] 2 23520w4 [0,1,0,-15558545,23615994303] 2
23520x (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4 -2  2  8
Curve Equation t 23520x1 [0,1,0,-310,608] 4 23520x2 [0,1,0,1160,5900] 2 23520x3 [0,1,0,-2760,-56232] 2 23520x4 [0,1,0,-3985,95423] 2
23520y (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4 -6  2 -4
Curve Equation t 23520y1 [0,1,0,-1290,10800] 4 23520y2 [0,1,0,3855,79743] 2 23520y3 [0,1,0,-8640,-303780] 2 23520y4 [0,1,0,-18440,957480] 4
23520z (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -5 -1  8 -5
Curve Equation t 23520z1 [0,1,0,-800,613500] 1
23520ba (2 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -6  4 -2  4
Curve Equation t 23520ba1 [0,1,0,-4230,-3900] 2 23520ba2 [0,1,0,-47105,-3939825] 2
23520bb (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  0  2  6  0
Curve Equation t Generators 23520bb1 [0,-1,0,-1486,21736] 4 [-30:196:1] 23520bb2 [0,-1,0,719,78625] 2 [13:300:1] 23520bb3 [0,-1,0,-3936,-65484] 2 [273:4374:1] 23520bb4 [0,-1,0,-23536,1397656] 2 [285:4214:1]
23520bc (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  0 -2  2 -4
Curve Equation t Generators 23520bc1 [0,-1,0,-43626,3411360] 4 [98:260:1] 23520bc2 [0,-1,0,16399,12018945] 2 [-191:1372:1] 23520bc3 [0,-1,0,-109776,-9315900] 2 [-1862:15119:8] 23520bc4 [0,-1,0,-691896,221748696] 2 [20410:981617:8]
23520bd (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  0 -2 -6 -4
Curve Equation t Generators 23520bd1 [0,-1,0,-506,-3744] 4 [-14:20:1] 23520bd2 [0,-1,0,719,-20159] 2 [33:196:1] 23520bd3 [0,-1,0,-1976,30360] 2 [133:1450:1] 23520bd4 [0,-1,0,-7856,-265404] 2 [145:1274:1]
23520be (1 curve)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  3  1 -4 -1
Curve Equation t Generators 23520be1 [0,-1,0,-3656,-83880] 1 [26663:106056:343]
23520bf (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  4  6 -6 -4
Curve Equation t Generators 23520bf1 [0,-1,0,-312558766,2126996800216] 4 [59655670413498:2883365870756:5841725401] 23520bf2 [0,-1,0,-311487136,2142304820440] 2 [-244404223714271608100811:24380621350866106437519562:14727041616284286281] 23520bf3 [0,-1,0,-313630641,2111674775841] 2 [901661:856015300:1] 23520bf4 [0,-1,0,-5000940016,136122808277716] 4 [7697456079710010830158540806:27314368635564111421957:188529134456922314361272]
23520bg (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  4 -6  6 -4
Curve Equation t Generators 23520bg1 [0,-1,0,-3446,-75480] 4 [98:720:1] 23520bg2 [0,-1,0,-16,-222284] 2 [68:294:1] 23520bg3 [0,-1,0,-7121,117825] 2 [-51:588:1] 23520bg4 [0,-1,0,-54896,-4932360] 2 [441:7512:1]
23520bh (4 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -4  2  2  8
Curve Equation t Generators 23520bh1 [0,-1,0,-257266,-50128784] 4 [909480:12811736:1331] 23520bh2 [0,-1,0,-226641,-62544159] 2 [2273:105644:1] 23520bh3 [0,-1,0,-288136,-37311560] 2 [-2662:37191:8] 23520bh4 [0,-1,0,-4116016,-3212760284] 2 [279641462595:-25155912775196:32461759]
23520bi (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -6 -4 -6  6
Curve Equation t Generators 23520bi1 [0,-1,0,-67146,-6674604] 2 [418:6174:1] 23520bi2 [0,-1,0,-65921,-6931119] 2 [2000:88641:1]
23520bj (4 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  0 -2  6  4
Curve Equation t 23520bj1 [0,-1,0,-8150,195000] 4 23520bj2 [0,-1,0,22720,1293972] 4 23520bj3 [0,-1,0,-51025,-4272575] 2 23520bj4 [0,-1,0,-118400,15718200] 2
23520bk (4 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  4 -6  2  4
Curve Equation t 23520bk1 [0,-1,0,-1290,-10800] 4 23520bk2 [0,-1,0,3855,-79743] 4 23520bk3 [0,-1,0,-8640,303780] 2 23520bk4 [0,-1,0,-18440,-957480] 2
23520bl (4 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7- -4  2  2 -4
Curve Equation t 23520bl1 [0,-1,0,-993050,380190000] 4 23520bl2 [0,-1,0,-576305,701333697] 4 23520bl3 [0,-1,0,-1421800,20383000] 2 23520bl4 [0,-1,0,-15876800,24354934500] 2
23520bm (1 curve)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  5 -1  8  5
Curve Equation t 23520bm1 [0,-1,0,-800,-613500] 1
23520bn (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  6  4 -2 -4
Curve Equation t 23520bn1 [0,-1,0,-4230,3900] 2 23520bn2 [0,-1,0,-47105,3939825] 2
23520bo (1 curve)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  5  1 -8 -5
Curve Equation t Generators 23520bo1 [0,1,0,-16,1784] 1 [2:42:1]
23520bp (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  0  2  6  0
Curve Equation t 23520bp1 [0,1,0,-1486,-21736] 4 23520bp2 [0,1,0,719,-78625] 2 23520bp3 [0,1,0,-3936,65484] 2 23520bp4 [0,1,0,-23536,-1397656] 2
23520bq (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  4  2  2  0
Curve Equation t 23520bq1 [0,1,0,-2466,21384] 4 23520bq2 [0,1,0,8559,169119] 2 23520bq3 [0,1,0,-19616,-1048776] 2 23520bq4 [0,1,0,-33336,2330460] 2
23520br (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -4  6 -6  4
Curve Equation t 23520br1 [0,1,0,-312558766,-2126996800216] 4 23520br2 [0,1,0,-311487136,-2142304820440] 2 23520br3 [0,1,0,-313630641,-2111674775841] 4 23520br4 [0,1,0,-5000940016,-136122808277716] 2
23520bs (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -4 -6  6  4
Curve Equation t 23520bs1 [0,1,0,-3446,75480] 4 23520bs2 [0,1,0,-16,222284] 2 23520bs3 [0,1,0,-7121,-117825] 2 23520bs4 [0,1,0,-54896,4932360] 2
23520bt (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  6 -4  2  4
Curve Equation t 23520bt1 [0,1,0,-86,-36] 2 23520bt2 [0,1,0,-961,-11761] 2
23520bu (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  6 -4 -6 -6
Curve Equation t 23520bu1 [0,1,0,-67146,6674604] 2 23520bu2 [0,1,0,-65921,6931119] 2
23520bv (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  3 -1  4  1
Curve Equation t 23520bv1 [0,1,0,-179160,29129148] 1
23520bw (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  0 -2  6 -4
Curve Equation t Generators 23520bw1 [0,1,0,-8150,-195000] 4 [-50:300:1] 23520bw2 [0,1,0,22720,-1293972] 2 [247:4410:1] 23520bw3 [0,1,0,-51025,4272575] 4 [-145:2940:1] 23520bw4 [0,1,0,-118400,-15718200] 2 [-197:6:1]
23520bx (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  4 -6 -2 -4
Curve Equation t Generators 23520bx1 [0,1,0,-11090,-444312] 4 [-59:90:1] 23520bx2 [0,1,0,1160,-1360612] 2 [431:8910:1] 23520bx3 [0,1,0,-24320,804600] 2 [-110:1470:1] 23520bx4 [0,1,0,-176465,-28591137] 2 [541:5880:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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