Cremona's table of elliptic curves

96480 = 2⁵ · 3² · 5 · 67

Class	r	Atkin-Lehner	Eigenvalues
96480a (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+ -4  4  4  2  4
Curve Equation t Generators 96480a1 [0,0,0,-393,2192] 2 [-11:72:1] 96480a2 [0,0,0,-2268,-39808] 2 [-672:944:27]
96480b (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+  4 -4  4  2 -4
Curve Equation t 96480b1 [0,0,0,-393,-2192] 2 96480b2 [0,0,0,-2268,39808] 2
96480c (2 curves)	2	2+ 3+ 5- 67+	2+ 3+ 5-  2 -4 -2 -6 -8
Curve Equation t Generators 96480c1 [0,0,0,-57,-144] 2 [-5:4:1]&[37:220:1] 96480c2 [0,0,0,93,-774] 2 [10:34:1]&[290:1793:8]
96480d (2 curves)	1	2+ 3+ 5- 67-	2+ 3+ 5- -2  4 -2 -6  8
Curve Equation t Generators 96480d1 [0,0,0,-57,144] 2 [0:12:1] 96480d2 [0,0,0,93,774] 2 [10:52:1]
96480e (4 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  0 -4 -2 -2  0
Curve Equation t 96480e1 [0,0,0,-54273,-4865672] 4 96480e2 [0,0,0,-48243,-5988458] 2 96480e3 [0,0,0,-60348,-3708992] 2 96480e4 [0,0,0,-868323,-311436902] 2
96480f (2 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+ -2  4 -4 -2  4
Curve Equation t 96480f1 [0,0,0,-453,452] 2 96480f2 [0,0,0,1797,3602] 2
96480g (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+ -3  5  4  4 -6
Curve Equation t 96480g1 [0,0,0,-3,538] 1
96480h (4 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  0  0  6 -2  4
Curve Equation t Generators 96480h1 [0,0,0,-50493,-4296292] 4 [-11303453:-7424928:79507] 96480h2 [0,0,0,132,-12517792] 2 [51688:11751264:1] 96480h3 [0,0,0,-104763,6568562] 2 [5091457433998726:-22160113758250000:17135598454541] 96480h4 [0,0,0,-804243,-277606042] 2 [-344490940074806:-3931537746256:665110004489]
96480i (4 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  0  4 -2 -2  0
Curve Equation t Generators 96480i1 [0,0,0,-54273,4865672] 4 [-109:3080:1] 96480i2 [0,0,0,-48243,5988458] 2 [-138446:4183900:1331] 96480i3 [0,0,0,-60348,3708992] 2 [2944:159192:1] 96480i4 [0,0,0,-868323,311436902] 2 [58148:1056517:64]
96480j (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+  3 -5  4  4  6
Curve Equation t Generators 96480j1 [0,0,0,-3,-538] 1 [49:342:1]
96480k (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5-  2  0  0  3  5
Curve Equation t Generators 96480k1 [0,0,0,-9192,343024] 1 [68:180:1]
96480l (2 curves)	1	2+ 3- 5- 67+	2+ 3- 5-  2  4 -2 -4  4
Curve Equation t Generators 96480l1 [0,0,0,-6177,-178504] 2 [-44:90:1] 96480l2 [0,0,0,-17427,656246] 2 [-95:1206:1]
96480m (2 curves)	1	2+ 3- 5- 67+	2+ 3- 5- -2  0  2  0  4
Curve Equation t Generators 96480m1 [0,0,0,-5457,-155144] 2 [251:3780:1] 96480m2 [0,0,0,-5907,-128054] 2 [86198:1295190:343]
96480n (2 curves)	1	2+ 3- 5- 67+	2+ 3- 5- -4  6  6  0 -4
Curve Equation t Generators 96480n1 [0,0,0,-12117,-660764] 2 [15263653020:-127432326064:91733851] 96480n2 [0,0,0,-208947,-36759386] 2 [890175:14740402:1331]
96480o (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  0 -2 -2  0  4
Curve Equation t 96480o1 [0,0,0,-434757,-849575356] 2 96480o2 [0,0,0,-16377987,-25379829034] 2
96480p (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  0  4  4  0  4
Curve Equation t 96480p1 [0,0,0,-2397,45164] 2 96480p2 [0,0,0,-2172,53984] 2
96480q (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  2  0  2  0 -4
Curve Equation t 96480q1 [0,0,0,-5457,155144] 2 96480q2 [0,0,0,-5907,128054] 2
96480r (2 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  2 -4  0  2 -4
Curve Equation t 96480r1 [0,0,0,-33262797,-72502529236] 2 96480r2 [0,0,0,1893453,-218042372986] 2
96480s (2 curves)	2	2+ 3- 5- 67-	2+ 3- 5- -2 -4 -2 -4 -4
Curve Equation t Generators 96480s1 [0,0,0,-6177,178504] 2 [-72:500:1]&[-67:540:1] 96480s2 [0,0,0,-17427,-656246] 2 [698:18090:1]&[-42:40:1]
96480t (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  4 -2  6 -8
Curve Equation t 96480t1 [0,0,0,-513,3888] 2 96480t2 [0,0,0,837,20898] 2
96480u (2 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+ -2 -4 -2  6  8
Curve Equation t Generators 96480u1 [0,0,0,-513,-3888] 2 [31:100:1] 96480u2 [0,0,0,837,-20898] 2 [194:935:8]
96480v (2 curves)	1	2- 3+ 5- 67+	2- 3+ 5- -4 -4  4 -2  4
Curve Equation t Generators 96480v1 [0,0,0,-3537,-59184] 2 [-23:100:1] 96480v2 [0,0,0,-20412,1074816] 2 [-38:1340:1]
96480w (2 curves)	0	2- 3+ 5- 67-	2- 3+ 5-  4  4  4 -2 -4
Curve Equation t 96480w1 [0,0,0,-3537,59184] 2 96480w2 [0,0,0,-20412,-1074816] 2
96480x (4 curves)	1	2- 3- 5+ 67+	2- 3- 5+  0  0  6 -2 -4
Curve Equation t Generators 96480x1 [0,0,0,-50493,4296292] 4 [6677:545292:1] 96480x2 [0,0,0,132,12517792] 2 [-226:972:1] 96480x3 [0,0,0,-104763,-6568562] 2 [-7616116926:45284078125:28652616] 96480x4 [0,0,0,-804243,277606042] 2 [263287058:21364997643:39304]
96480y (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+ -2  0 -4  3  1
Curve Equation t Generators 96480y1 [0,0,0,61512,9868912] 1 [636:17500:1]
96480z (1 curve)	0	2- 3- 5+ 67-	2- 3- 5+  2  0 -4  3 -1
Curve Equation t 96480z1 [0,0,0,61512,-9868912] 1
96480ba (2 curves)	2	2- 3- 5+ 67-	2- 3- 5+  2 -4 -4 -2 -4
Curve Equation t Generators 96480ba1 [0,0,0,-453,-452] 2 [-19:36:1]&[-4:36:1] 96480ba2 [0,0,0,1797,-3602] 2 [29:-270:1]&[146:1836:1]
96480bb (2 curves)	0	2- 3- 5- 67+	2- 3- 5-  0  2 -2  0 -4
Curve Equation t 96480bb1 [0,0,0,-434757,849575356] 2 96480bb2 [0,0,0,-16377987,25379829034] 2
96480bc (2 curves)	0	2- 3- 5- 67+	2- 3- 5-  0 -4  4  0 -4
Curve Equation t 96480bc1 [0,0,0,-2397,-45164] 2 96480bc2 [0,0,0,-2172,-53984] 2
96480bd (2 curves)	0	2- 3- 5- 67+	2- 3- 5- -2  4  0  2  4
Curve Equation t 96480bd1 [0,0,0,-33262797,72502529236] 2 96480bd2 [0,0,0,1893453,218042372986] 2
96480be (1 curve)	0	2- 3- 5- 67+	2- 3- 5- -3  3 -6  6 -2
Curve Equation t 96480be1 [0,0,0,6693,-55294] 1
96480bf (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -2  0  0  3 -5
Curve Equation t Generators 96480bf1 [0,0,0,-9192,-343024] 1 [112:180:1]
96480bg (1 curve)	1	2- 3- 5- 67-	2- 3- 5-  3 -3 -6  6  2
Curve Equation t Generators 96480bg1 [0,0,0,6693,55294] 1 [-7:90:1]
96480bh (2 curves)	1	2- 3- 5- 67-	2- 3- 5-  4 -6  6  0  4
Curve Equation t Generators 96480bh1 [0,0,0,-12117,660764] 2 [41705:726264:125] 96480bh2 [0,0,0,-208947,36759386] 2 [-1534:66825:8]

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

Part of Computational Number Theory
Back to Tables and computations