Cremona's table of elliptic curves

2880 = 2⁶ · 3² · 5

Class	r	Atkin-Lehner	Eigenvalues
2880a (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+  2  2 -4  2 -4
Curve Equation t Generators 2880a1 [0,0,0,-108,3888] 2 [-2:64:1] 2880a2 [0,0,0,-4428,112752] 2 [-18:432:1]
2880b (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+  2 -2  0 -2 -4
Curve Equation t Generators 2880b1 [0,0,0,12,-32] 2 [6:16:1] 2880b2 [0,0,0,-108,-368] 2 [-6:8:1]
2880c (4 curves)	1	2+ 3+ 5+	2+ 3+ 5+  2 -6  4 -6  4
Curve Equation t Generators 2880c1 [0,0,0,372,752] 2 [4:48:1] 2880c2 [0,0,0,-1548,6128] 2 [-2:96:1] 2880c3 [0,0,0,-4428,-129168] 2 [2724:142128:1] 2880c4 [0,0,0,-73548,-7677072] 2 [334:2240:1]
2880d (2 curves)	1	2+ 3+ 5+	2+ 3+ 5+ -2  2  0 -2  4
Curve Equation t Generators 2880d1 [0,0,0,12,32] 2 [2:8:1] 2880d2 [0,0,0,-108,368] 2 [-2:24:1]
2880e (2 curves)	0	2+ 3+ 5-	2+ 3+ 5-  2  2  0  2 -4
Curve Equation t 2880e1 [0,0,0,108,864] 2 2880e2 [0,0,0,-972,9936] 2
2880f (2 curves)	0	2+ 3+ 5-	2+ 3+ 5-  2 -2 -4 -2 -4
Curve Equation t 2880f1 [0,0,0,-12,-144] 2 2880f2 [0,0,0,-492,-4176] 2
2880g (4 curves)	0	2+ 3+ 5-	2+ 3+ 5-  2  6  4  6  4
Curve Equation t 2880g1 [0,0,0,-492,4784] 2 2880g2 [0,0,0,-8172,284336] 2 2880g3 [0,0,0,3348,-20304] 2 2880g4 [0,0,0,-13932,-165456] 2
2880h (2 curves)	0	2+ 3+ 5-	2+ 3+ 5- -2 -2  0  2  4
Curve Equation t 2880h1 [0,0,0,108,-864] 2 2880h2 [0,0,0,-972,-9936] 2
2880i (4 curves)	0	2+ 3- 5+	2+ 3- 5+  2  0 -2  6  4
Curve Equation t 2880i1 [0,0,0,-48,-88] 2 2880i2 [0,0,0,132,-592] 2 2880i3 [0,0,0,-1488,22088] 2 2880i4 [0,0,0,-1308,27632] 2
2880j (2 curves)	0	2+ 3- 5+	2+ 3- 5+  2  4  6 -2  8
Curve Equation t 2880j1 [0,0,0,-3,52] 2 2880j2 [0,0,0,-228,1312] 2
2880k (2 curves)	0	2+ 3- 5+	2+ 3- 5+ -2 -4  6 -2 -8
Curve Equation t 2880k1 [0,0,0,-3,-52] 2 2880k2 [0,0,0,-228,-1312] 2
2880l (4 curves)	0	2+ 3- 5+	2+ 3- 5+  4  0  6  2 -4
Curve Equation t 2880l1 [0,0,0,132,272] 2 2880l2 [0,0,0,-588,2288] 4 2880l3 [0,0,0,-4908,-130768] 2 2880l4 [0,0,0,-7788,264368] 2
2880m (4 curves)	0	2+ 3- 5+	2+ 3- 5+  4 -4 -6 -2  4
Curve Equation t 2880m1 [0,0,0,-8103,280748] 2 2880m2 [0,0,0,-8148,277472] 4 2880m3 [0,0,0,-17868,-511792] 2 2880m4 [0,0,0,852,857072] 2
2880n (8 curves)	0	2+ 3- 5+	2+ 3- 5+ -4  0 -2 -6  4
Curve Equation t 2880n1 [0,0,0,852,-29392] 2 2880n2 [0,0,0,-10668,-384208] 4 2880n3 [0,0,0,-7788,865712] 2 2880n4 [0,0,0,-166188,-26076112] 2 2880n5 [0,0,0,-39468,2599472] 2 2880n6 [0,0,0,-192108,32347568] 4 2880n7 [0,0,0,-261228,6994352] 2 2880n8 [0,0,0,-3072108,2072539568] 2
2880o (4 curves)	0	2+ 3- 5+	2+ 3- 5+ -4  4 -6 -2 -4
Curve Equation t 2880o1 [0,0,0,-8103,-280748] 2 2880o2 [0,0,0,-8148,-277472] 4 2880o3 [0,0,0,-17868,511792] 2 2880o4 [0,0,0,852,-857072] 2
2880p (4 curves)	1	2+ 3- 5-	2+ 3- 5-  0  0 -2 -6  4
Curve Equation t Generators 2880p1 [0,0,0,33,196] 2 [0:14:1] 2880p2 [0,0,0,-372,2464] 4 [-10:72:1] 2880p3 [0,0,0,-1452,-18704] 2 [-18:40:1] 2880p4 [0,0,0,-5772,168784] 4 [45:13:1]
2880q (4 curves)	1	2+ 3- 5-	2+ 3- 5-  0  0 -2 -6 -4
Curve Equation t Generators 2880q1 [0,0,0,33,-196] 2 [20:92:1] 2880q2 [0,0,0,-372,-2464] 4 [-10:16:1] 2880q3 [0,0,0,-5772,-168784] 2 [100:504:1] 2880q4 [0,0,0,-1452,18704] 4 [-32:180:1]
2880r (8 curves)	1	2+ 3- 5-	2+ 3- 5-  0 -4  2 -2 -4
Curve Equation t Generators 2880r1 [0,0,0,-12,-2576] 2 [20:72:1] 2880r2 [0,0,0,-2892,-59024] 4 [116:1080:1] 2880r3 [0,0,0,-46092,-3808784] 2 [276:2120:1] 2880r4 [0,0,0,-5772,78064] 4 [-67:405:1] 2880r5 [0,0,0,-77772,8343664] 4 [-130:4032:1] 2880r6 [0,0,0,20148,586096] 2 [62:1440:1] 2880r7 [0,0,0,-1244172,534156784] 2 [1085:21483:1] 2880r8 [0,0,0,-63372,11528944] 2 [-120:4172:1]
2880s (6 curves)	1	2+ 3- 5-	2+ 3- 5-  0 -4 -6  6  4
Curve Equation t Generators 2880s1 [0,0,0,-552,-4984] 2 [50:304:1] 2880s2 [0,0,0,-732,-1456] 4 [-20:72:1] 2880s3 [0,0,0,-7212,234416] 4 [-8:540:1] 2880s4 [0,0,0,2868,-11536] 2 [20:232:1] 2880s5 [0,0,0,-115212,15052016] 4 [-98:5040:1] 2880s6 [0,0,0,-2892,512624] 2 [-2:720:1]
2880t (4 curves)	1	2+ 3- 5-	2+ 3- 5- -4  4  2 -2 -4
Curve Equation t Generators 2880t1 [0,0,0,-72,-216] 2 [10:8:1] 2880t2 [0,0,0,-252,1296] 4 [-3:45:1] 2880t3 [0,0,0,-3852,92016] 2 [40:44:1] 2880t4 [0,0,0,468,7344] 2 [-2:80:1]
2880u (2 curves)	0	2- 3+ 5+	2- 3+ 5+ -2 -2 -4  2  4
Curve Equation t 2880u1 [0,0,0,-108,-3888] 2 2880u2 [0,0,0,-4428,-112752] 2
2880v (4 curves)	0	2- 3+ 5+	2- 3+ 5+ -2  6  4 -6 -4
Curve Equation t 2880v1 [0,0,0,372,-752] 2 2880v2 [0,0,0,-1548,-6128] 2 2880v3 [0,0,0,-4428,129168] 2 2880v4 [0,0,0,-73548,7677072] 2
2880w (2 curves)	1	2- 3+ 5-	2- 3+ 5- -2  2 -4 -2  4
Curve Equation t Generators 2880w1 [0,0,0,-12,144] 2 [0:12:1] 2880w2 [0,0,0,-492,4176] 2 [10:16:1]
2880x (4 curves)	1	2- 3+ 5-	2- 3+ 5- -2 -6  4  6 -4
Curve Equation t Generators 2880x1 [0,0,0,-492,-4784] 2 [80:684:1] 2880x2 [0,0,0,-8172,-284336] 2 [218:2880:1] 2880x3 [0,0,0,3348,20304] 2 [48:540:1] 2880x4 [0,0,0,-13932,165456] 2 [-38:800:1]
2880y (4 curves)	1	2- 3- 5+	2- 3- 5+  0  4 -2  2 -8
Curve Equation t Generators 2880y1 [0,0,0,-183,-952] 2 [28:126:1] 2880y2 [0,0,0,-228,-448] 4 [-11:27:1] 2880y3 [0,0,0,-2028,34832] 2 [34:72:1] 2880y4 [0,0,0,852,-3472] 2 [13:99:1]
2880z (4 curves)	1	2- 3- 5+	2- 3- 5+  0 -4 -2  2  8
Curve Equation t Generators 2880z1 [0,0,0,-183,952] 2 [12:22:1] 2880z2 [0,0,0,-228,448] 4 [-6:40:1] 2880z3 [0,0,0,-2028,-34832] 2 [-24:4:1] 2880z4 [0,0,0,852,3472] 2 [2:72:1]
2880ba (4 curves)	1	2- 3- 5+	2- 3- 5+ -2  0 -2  6 -4
Curve Equation t Generators 2880ba1 [0,0,0,-48,88] 2 [-7:9:1] 2880ba2 [0,0,0,132,592] 2 [6:40:1] 2880ba3 [0,0,0,-1488,-22088] 2 [78:580:1] 2880ba4 [0,0,0,-1308,-27632] 2 [62:360:1]
2880bb (8 curves)	1	2- 3- 5+	2- 3- 5+  4  0 -2 -6 -4
Curve Equation t Generators 2880bb1 [0,0,0,852,29392] 2 [-16:108:1] 2880bb2 [0,0,0,-10668,384208] 4 [-54:896:1] 2880bb3 [0,0,0,-7788,-865712] 2 [272:4140:1] 2880bb4 [0,0,0,-39468,-2599472] 2 [-99:581:1] 2880bb5 [0,0,0,-166188,26076112] 2 [-214:7200:1] 2880bb6 [0,0,0,-192108,-32347568] 4 [64720:330372:125] 2880bb7 [0,0,0,-3072108,-2072539568] 2 [2122198960:-471846682404:42875] 2880bb8 [0,0,0,-261228,-6994352] 2 [-198:6080:1]
2880bc (4 curves)	1	2- 3- 5+	2- 3- 5+ -4  0  6  2  4
Curve Equation t Generators 2880bc1 [0,0,0,132,-272] 2 [8:36:1] 2880bc2 [0,0,0,-588,-2288] 4 [-19:45:1] 2880bc3 [0,0,0,-7788,-264368] 2 [-51:13:1] 2880bc4 [0,0,0,-4908,130768] 2 [-6:400:1]
2880bd (8 curves)	0	2- 3- 5-	2- 3- 5-  0  4  2 -2  4
Curve Equation t 2880bd1 [0,0,0,-12,2576] 2 2880bd2 [0,0,0,-2892,59024] 4 2880bd3 [0,0,0,-5772,-78064] 4 2880bd4 [0,0,0,-46092,3808784] 2 2880bd5 [0,0,0,-77772,-8343664] 4 2880bd6 [0,0,0,20148,-586096] 2 2880bd7 [0,0,0,-1244172,-534156784] 2 2880bd8 [0,0,0,-63372,-11528944] 2
2880be (6 curves)	0	2- 3- 5-	2- 3- 5-  0  4 -6  6 -4
Curve Equation t 2880be1 [0,0,0,-552,4984] 2 2880be2 [0,0,0,-732,1456] 4 2880be3 [0,0,0,-7212,-234416] 4 2880be4 [0,0,0,2868,11536] 2 2880be5 [0,0,0,-115212,-15052016] 2 2880be6 [0,0,0,-2892,-512624] 4
2880bf (4 curves)	0	2- 3- 5-	2- 3- 5-  4  0  2  6  0
Curve Equation t 2880bf1 [0,0,0,33,776] 2 2880bf2 [0,0,0,-1092,13376] 4 2880bf3 [0,0,0,-2892,-42064] 2 2880bf4 [0,0,0,-17292,875216] 2
2880bg (4 curves)	0	2- 3- 5-	2- 3- 5-  4 -4  2 -2  4
Curve Equation t 2880bg1 [0,0,0,-72,216] 2 2880bg2 [0,0,0,-252,-1296] 4 2880bg3 [0,0,0,-3852,-92016] 2 2880bg4 [0,0,0,468,-7344] 2
2880bh (4 curves)	0	2- 3- 5-	2- 3- 5- -4  0  2  6  0
Curve Equation t 2880bh1 [0,0,0,33,-776] 2 2880bh2 [0,0,0,-1092,-13376] 4 2880bh3 [0,0,0,-17292,-875216] 2 2880bh4 [0,0,0,-2892,42064] 2

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