Cremona's table of elliptic curves

4290 = 2 · 3 · 5 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
4290a (4 curves)	0	2+ 3+ 5+ 11+ 13-	2+ 3+ 5+  4 11+ 13-  6  4
Curve Equation t 4290a1 [1,1,0,22,-2172] 2 4290a2 [1,1,0,-2398,-45248] 4 4290a3 [1,1,0,-38148,-2883798] 2 4290a4 [1,1,0,-5368,84838] 2
4290b (4 curves)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+  0 11- 13+  6  0
Curve Equation t 4290b1 [1,1,0,-1749568,325439488] 2 4290b2 [1,1,0,-22721088,41643528192] 4 4290b3 [1,1,0,-363457088,2666878113792] 2 4290b4 [1,1,0,-17529408,61186050048] 2
4290c (1 curve)	0	2+ 3+ 5+ 11- 13+	2+ 3+ 5+  5 11- 13+ -4 -5
Curve Equation t 4290c1 [1,1,0,52,-72] 1
4290d (4 curves)	1	2+ 3+ 5+ 11- 13-	2+ 3+ 5+  0 11- 13- -2 -4
Curve Equation t Generators 4290d1 [1,1,0,8082,-1060428] 2 [301:5212:1] 4290d2 [1,1,0,-119918,-14807628] 4 [-189:1167:1] 4290d3 [1,1,0,-1877518,-990978668] 2 [1657:20407:1] 4290d4 [1,1,0,-410318,84102612] 2 [867:19086:1]
4290e (4 curves)	1	2+ 3+ 5+ 11- 13-	2+ 3+ 5+ -4 11- 13-  2  0
Curve Equation t Generators 4290e1 [1,1,0,-2448,-110592] 2 [208:2800:1] 4290e2 [1,1,0,-52448,-4640592] 4 [-132:132:1] 4290e3 [1,1,0,-838948,-296117492] 2 [1111:11473:1] 4290e4 [1,1,0,-65948,-2083692] 4 [-194:1956:1]
4290f (4 curves)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5-  0 11+ 13+  6  4
Curve Equation t 4290f1 [1,1,0,-132,-2304] 2 4290f2 [1,1,0,-3512,-81396] 4 4290f3 [1,1,0,-56162,-5146326] 2 4290f4 [1,1,0,-4942,-10754] 2
4290g (2 curves)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5- -2 11+ 13+ -4  6
Curve Equation t 4290g1 [1,1,0,-43472,4968684] 2 4290g2 [1,1,0,-775522,262503874] 2
4290h (1 curve)	0	2+ 3+ 5- 11+ 13+	2+ 3+ 5-  5 11+ 13+ -4 -1
Curve Equation t 4290h1 [1,1,0,522483,-69794979] 1
4290i (2 curves)	1	2+ 3+ 5- 11- 13+	2+ 3+ 5-  2 11- 13+  4 -2
Curve Equation t Generators 4290i1 [1,1,0,74288,-2411264] 2 [87:2129:1] 4290i2 [1,1,0,-312912,-20145024] 2 [1495:52696:1]
4290j (1 curve)	0	2+ 3- 5+ 11+ 13+	2+ 3- 5+  1 11+ 13+  4  1
Curve Equation t 4290j1 [1,0,1,9976,-318634] 1
4290k (4 curves)	1	2+ 3- 5+ 11- 13+	2+ 3- 5+  0 11- 13+  2 -4
Curve Equation t Generators 4290k1 [1,0,1,-34,932] 2 [1:29:1] 4290k2 [1,0,1,-1654,25556] 4 [-14:221:1] 4290k3 [1,0,1,-2824,-15628] 2 [-20:191:1] 4290k4 [1,0,1,-26404,1649156] 2 [94:-43:1]
4290l (2 curves)	0	2+ 3- 5+ 11- 13-	2+ 3- 5+ -1 11- 13-  0 -7
Curve Equation t 4290l1 [1,0,1,-4074,-392378] 3 4290l2 [1,0,1,-552039,-157917614] 1
4290m (2 curves)	1	2+ 3- 5- 11+ 13+	2+ 3- 5- -4 11+ 13+  4 -2
Curve Equation t Generators 4290m1 [1,0,1,-118,1556] 2 [-5:47:1] 4290m2 [1,0,1,-2868,58756] 2 [20:87:1]
4290n (2 curves)	0	2+ 3- 5- 11+ 13-	2+ 3- 5- -1 11+ 13-  0  5
Curve Equation t 4290n1 [1,0,1,-83,-2482] 3 4290n2 [1,0,1,-16658,-828892] 1
4290o (4 curves)	0	2+ 3- 5- 11+ 13-	2+ 3- 5-  2 11+ 13-  6 -4
Curve Equation t 4290o1 [1,0,1,-598,-64744] 6 4290o2 [1,0,1,-28098,-1802744] 6 4290o3 [1,0,1,-141973,-20602144] 2 4290o4 [1,0,1,-2271573,-1317954464] 2
4290p (2 curves)	1	2+ 3- 5- 11- 13-	2+ 3- 5-  0 11- 13- -4 -2
Curve Equation t Generators 4290p1 [1,0,1,-668,8858] 2 [9:55:1] 4290p2 [1,0,1,-11668,484058] 2 [-26:890:1]
4290q (2 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+ -2 11+ 13-  2  4
Curve Equation t Generators 4290q1 [1,1,1,-156,3453] 2 [-9:69:1] 4290q2 [1,1,1,-4556,116093] 2 [27:103:1]
4290r (2 curves)	1	2- 3+ 5+ 11+ 13-	2- 3+ 5+ -2 11+ 13- -2  0
Curve Equation t Generators 4290r1 [1,1,1,-1826,-31201] 2 [71:415:1] 4290r2 [1,1,1,-29326,-1945201] 2 [321:4513:1]
4290s (2 curves)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+  2 11- 13+ -4 -2
Curve Equation t Generators 4290s1 [1,1,1,-1007741,-390570541] 2 [1181:7670:1] 4290s2 [1,1,1,-16132741,-24947520541] 2 [138681:51553648:1]
4290t (4 curves)	1	2- 3+ 5+ 11- 13+	2- 3+ 5+ -4 11- 13+  2  4
Curve Equation t Generators 4290t1 [1,1,1,-66,-177] 2 [-3:3:1] 4290t2 [1,1,1,-386,2639] 4 [-1:55:1] 4290t3 [1,1,1,-6106,181103] 2 [47:3:1] 4290t4 [1,1,1,214,10799] 2 [11:115:1]
4290u (4 curves)	0	2- 3+ 5- 11+ 13-	2- 3+ 5-  4 11+ 13- -2  0
Curve Equation t 4290u1 [1,1,1,-84688305,307667837775] 4 4290u2 [1,1,1,-1364688305,19403731837775] 4 4290u3 [1,1,1,-1374368305,19114481821775] 2 4290u4 [1,1,1,-21835008305,1241866677853775] 2
4290v (4 curves)	0	2- 3+ 5- 11+ 13-	2- 3+ 5- -4 11+ 13-  6 -8
Curve Equation t 4290v1 [1,1,1,65,-235] 4 4290v2 [1,1,1,-435,-2835] 4 4290v3 [1,1,1,-6485,-203695] 2 4290v4 [1,1,1,-2385,41625] 2
4290w (4 curves)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  0 11+ 13-  6  4
Curve Equation t 4290w1 [1,0,0,1094,-29980] 4 4290w2 [1,0,0,-10426,-354844] 4 4290w3 [1,0,0,-160426,-24744844] 2 4290w4 [1,0,0,-44746,3289940] 2
4290x (1 curve)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  3 11+ 13-  0 -5
Curve Equation t 4290x1 [1,0,0,-6,6] 1
4290y (4 curves)	0	2- 3- 5+ 11+ 13-	2- 3- 5+ -4 11+ 13-  0  2
Curve Equation t 4290y1 [1,0,0,882429,-5912689599] 6 4290y2 [1,0,0,-44173571,-109748747199] 6 4290y3 [1,0,0,-221822211,-1271848724415] 2 4290y4 [1,0,0,-3549322211,-81389397224415] 2
4290z (4 curves)	0	2- 3- 5+ 11- 13+	2- 3- 5+  0 11- 13+ -6  4
Curve Equation t 4290z1 [1,0,0,-46,116] 2 4290z2 [1,0,0,-66,0] 4 4290z3 [1,0,0,-716,-7410] 2 4290z4 [1,0,0,264,66] 2
4290ba (2 curves)	1	2- 3- 5+ 11- 13-	2- 3- 5+ -2 11- 13- -6 -4
Curve Equation t Generators 4290ba1 [1,0,0,299,6881] 2 [26:-193:1] 4290ba2 [1,0,0,-4101,92241] 2 [-60:381:1]
4290bb (8 curves)	1	2- 3- 5- 11+ 13-	2- 3- 5- -4 11+ 13- -6 -4
Curve Equation t Generators 4290bb1 [1,0,0,-11420,-450288] 6 [-68:148:1] 4290bb2 [1,0,0,-31900,1610000] 12 [-178:1376:1] 4290bb3 [1,0,0,-913820,-336308208] 2 [1212:17748:1] 4290bb4 [1,0,0,-471900,124722000] 12 [-780:4680:1] 4290bb5 [1,0,0,80420,10438352] 6 [-82:1856:1] 4290bb6 [1,0,0,-913900,-336246400] 4 [-550:590:1] 4290bb7 [1,0,0,-1047000,-231922620] 4 [2112:82482:1] 4290bb8 [1,0,0,-782080,-436614148] 2 [3844:229078:1]
4290bc (6 curves)	0	2- 3- 5- 11- 13-	2- 3- 5-  0 11- 13-  2  4
Curve Equation t 4290bc1 [1,0,0,-2840,25152] 4 4290bc2 [1,0,0,-23320,-1355200] 8 4290bc3 [1,0,0,-371800,-87290368] 4 4290bc4 [1,0,0,-2520,-3680640] 4 4290bc5 [1,0,0,-5948800,-5585096968] 2 4290bc6 [1,0,0,-370480,-87940600] 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