Cremona's table of elliptic curves

18330 = 2 · 3 · 5 · 13 · 47

Class	r	Atkin-Lehner	Eigenvalues
18330a (1 curve)	0	2+ 3+ 5+ 13+ 47-	2+ 3+ 5+ -3 -3 13+ -6  6
Curve Equation t 18330a1 [1,1,0,-268747468,-1909733646512] 1
18330b (2 curves)	0	2+ 3+ 5+ 13- 47+	2+ 3+ 5+  4 -2 13-  6 -2
Curve Equation t 18330b1 [1,1,0,-1488,-16128] 2 18330b2 [1,1,0,-9008,313248] 2
18330c (2 curves)	0	2+ 3+ 5- 13+ 47+	2+ 3+ 5-  2 -4 13+ -4 -6
Curve Equation t 18330c1 [1,1,0,-6247,4488181] 2 18330c2 [1,1,0,-448047,114142941] 2
18330d (2 curves)	0	2+ 3+ 5- 13+ 47+	2+ 3+ 5-  4 -4 13+ -4  4
Curve Equation t 18330d1 [1,1,0,923,-1859] 2 18330d2 [1,1,0,-3777,-19719] 2
18330e (2 curves)	1	2+ 3+ 5- 13+ 47-	2+ 3+ 5-  4 -2 13+ -2 -2
Curve Equation t Generators 18330e1 [1,1,0,-417302,95210976] 2 [80:7856:1] 18330e2 [1,1,0,-1455532,-568633286] 2 [-3778:31499:8]
18330f (4 curves)	0	2+ 3+ 5- 13- 47-	2+ 3+ 5-  4  4 13-  2 -4
Curve Equation t 18330f1 [1,1,0,-8597,-310419] 2 18330f2 [1,1,0,-8677,-304451] 4 18330f3 [1,1,0,-22177,853849] 4 18330f4 [1,1,0,3543,-1079199] 2
18330g (4 curves)	0	2+ 3- 5+ 13+ 47+	2+ 3- 5+  0 -4 13+ -6 -4
Curve Equation t 18330g1 [1,0,1,-19399,153866] 2 18330g2 [1,0,1,-196119,-33281558] 4 18330g3 [1,0,1,-3133619,-2135356558] 2 18330g4 [1,0,1,-86139,-70366814] 2
18330h (1 curve)	0	2+ 3- 5+ 13+ 47+	2+ 3- 5+ -1  3 13+  2  2
Curve Equation t 18330h1 [1,0,1,8044631,-27038919124] 1
18330i (2 curves)	1	2+ 3- 5+ 13- 47+	2+ 3- 5+  0 -6 13-  6 -2
Curve Equation t Generators 18330i1 [1,0,1,-2774,-56428] 2 [-30:16:1] 18330i2 [1,0,1,-3244,-36124] 2 [-32:203:1]
18330j (2 curves)	1	2+ 3- 5+ 13- 47+	2+ 3- 5+ -2 -2 13- -6  0
Curve Equation t Generators 18330j1 [1,0,1,21,226] 2 [4:17:1] 18330j2 [1,0,1,-449,3422] 2 [0:58:1]
18330k (1 curve)	1	2+ 3- 5+ 13- 47+	2+ 3- 5+  4 -2 13- -3  0
Curve Equation t Generators 18330k1 [1,0,1,5096,-44698] 1 [16:194:1]
18330l (2 curves)	0	2+ 3- 5+ 13- 47-	2+ 3- 5+  0 -4 13-  2  6
Curve Equation t 18330l1 [1,0,1,-865064,-309750154] 2 18330l2 [1,0,1,-831784,-334670218] 2
18330m (2 curves)	0	2+ 3- 5- 13+ 47-	2+ 3- 5-  4  2 13+ -2 -6
Curve Equation t 18330m1 [1,0,1,-138,-452] 2 18330m2 [1,0,1,-2018,-35044] 2
18330n (1 curve)	1	2+ 3- 5- 13- 47-	2+ 3- 5- -1 -3 13- -2 -6
Curve Equation t Generators 18330n1 [1,0,1,292,69518] 1 [39:-395:1]
18330o (2 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5-  2  0 13-  4 -6
Curve Equation t Generators 18330o1 [1,0,1,-7363,-243862] 2 [20298:542675:27] 18330o2 [1,0,1,-117813,-15574322] 2 [2651460:-66849718:3375]
18330p (2 curves)	1	2+ 3- 5- 13- 47-	2+ 3- 5-  2 -4 13- -6  6
Curve Equation t Generators 18330p1 [1,0,1,-44803,-5172994] 2 [490:9272:1] 18330p2 [1,0,1,-796803,-273787394] 2 [-520:357:1]
18330q (2 curves)	0	2- 3+ 5+ 13+ 47+	2- 3+ 5+  2 -4 13+  4 -6
Curve Equation t 18330q1 [1,1,1,-18331,3242153] 2 18330q2 [1,1,1,-460131,119700633] 2
18330r (4 curves)	0	2- 3+ 5+ 13+ 47+	2- 3+ 5+  4  4 13+  2 -4
Curve Equation t 18330r1 [1,1,1,-17726,363899] 2 18330r2 [1,1,1,-234046,43454843] 4 18330r3 [1,1,1,-3744046,2786870843] 2 18330r4 [1,1,1,-185166,62185659] 2
18330s (4 curves)	0	2- 3+ 5+ 13+ 47+	2- 3+ 5+ -4  4 13+  2  0
Curve Equation t 18330s1 [1,1,1,-212907676,-1195823998867] 2 18330s2 [1,1,1,-213478896,-1189085430771] 4 18330s3 [1,1,1,-388939766,1046847527813] 2 18330s4 [1,1,1,-47157546,-2993738606811] 2
18330t (1 curve)	2	2- 3+ 5+ 13+ 47+	2- 3+ 5+ -4 -6 13+ -3  0
Curve Equation t Generators 18330t1 [1,1,1,-241,2063] 1 [191:-2736:1]&[-9:64:1]
18330u (2 curves)	1	2- 3+ 5+ 13- 47+	2- 3+ 5+ -2  2 13- -2 -4
Curve Equation t Generators 18330u1 [1,1,1,-26,10919] 2 [-7:107:1] 18330u2 [1,1,1,-7546,245543] 2 [-43:723:1]
18330v (4 curves)	0	2- 3+ 5- 13- 47+	2- 3+ 5- -4  4 13- -2  0
Curve Equation t 18330v1 [1,1,1,7620,-1050723] 4 18330v2 [1,1,1,-120380,-14977123] 4 18330v3 [1,1,1,-1887580,-998954083] 2 18330v4 [1,1,1,-401180,80270237] 2
18330w (4 curves)	1	2- 3- 5+ 13+ 47+	2- 3- 5+  0 -4 13+  2  4
Curve Equation t Generators 18330w1 [1,0,0,8859,-568575] 2 [66:519:1] 18330w2 [1,0,0,-73061,-6319359] 4 [-194:847:1] 18330w3 [1,0,0,-1113061,-452063359] 2 [-610:431:1] 18330w4 [1,0,0,-343781,71702145] 2 [454:2815:1]
18330x (4 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+  2  0 13-  6  2
Curve Equation t 18330x1 [1,0,0,22874,465380] 6 18330x2 [1,0,0,-97446,3810276] 6 18330x3 [1,0,0,-264166,-60883804] 2 18330x4 [1,0,0,-4417086,-3573423540] 2
18330y (2 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+ -2  0 13-  6 -2
Curve Equation t 18330y1 [1,0,0,-11,141] 2 18330y2 [1,0,0,-481,3995] 2
18330z (2 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+  4  0 13- -6 -2
Curve Equation t 18330z1 [1,0,0,-6961,68585] 2 18330z2 [1,0,0,26319,541161] 2
18330ba (4 curves)	0	2- 3- 5+ 13- 47+	2- 3- 5+ -4  0 13- -6  2
Curve Equation t 18330ba1 [1,0,0,-90506,-10328604] 6 18330ba2 [1,0,0,-2626,-29504020] 6 18330ba3 [1,0,0,-7300046,-7592264160] 2 18330ba4 [1,0,0,-7299916,-7592548054] 2
18330bb (2 curves)	1	2- 3- 5+ 13- 47-	2- 3- 5+  0 -4 13- -4  0
Curve Equation t Generators 18330bb1 [1,0,0,-320261,70168641] 2 [-14:8647:1] 18330bb2 [1,0,0,-5133061,4475805761] 2 [1490:-12409:1]
18330bc (2 curves)	1	2- 3- 5+ 13- 47-	2- 3- 5+ -2  0 13-  0  6
Curve Equation t Generators 18330bc1 [1,0,0,-6771,-280035] 2 [474:9915:1] 18330bc2 [1,0,0,-117221,-15455865] 2 [4262:66395:8]
18330bd (1 curve)	1	2- 3- 5+ 13- 47-	2- 3- 5+ -3  5 13-  2 -6
Curve Equation t Generators 18330bd1 [1,0,0,-10016,-736704] 1 [226:-3038:1]
18330be (1 curve)	0	2- 3- 5- 13+ 47+	2- 3- 5-  0  2 13+ -7  4
Curve Equation t 18330be1 [1,0,0,-755,-8073] 1
18330bf (2 curves)	1	2- 3- 5- 13+ 47-	2- 3- 5- -2  0 13+ -2 -6
Curve Equation t Generators 18330bf1 [1,0,0,2565,126225] 2 [30:465:1] 18330bf2 [1,0,0,-27515,1552017] 2 [-26:1513:1]

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

Part of Computational Number Theory
Back to Tables and computations