Cremona's table of elliptic curves

45662 = 2 · 17² · 79

Class	r	Atkin-Lehner	Eigenvalues
45662a (1 curve)	1	2+ 17+ 79+	2+  1  0 -2 -2  6 17+ -2
Curve Equation t Generators 45662a1 [1,0,1,274,-20960] 1 [75960:740575:729]
45662b (2 curves)	1	2+ 17+ 79+	2+ -1  0 -2 -6  2 17+  2
Curve Equation t Generators 45662b1 [1,1,0,-405,-3707] 1 [37:165:1] 45662b2 [1,1,0,-33980,-2425136] 1 [239350:41280861:8]
45662c (3 curves)	1	2+ 17+ 79+	2+ -1 -3  1  0  5 17+  2
Curve Equation t Generators 45662c1 [1,1,0,-13444,594404] 1 [86:246:1] 45662c2 [1,1,0,-23559,-427211] 1 [222:2201:1] 45662c3 [1,1,0,-1507574,-713096876] 1 [88860:26441842:1]
45662d (2 curves)	1	2+ 17+ 79+	2+  2  3  4 -3 -1 17+ -1
Curve Equation t Generators 45662d1 [1,1,0,-544626,154479968] 1 [545512:480532:1331] 45662d2 [1,1,0,-127021,384079197] 1 [2707799549291826:-3696061215214028985:1454419637]
45662e (1 curve)	0	2+ 17+ 79-	2+  0  0  5  1  4 17+  5
Curve Equation t 45662e1 [1,-1,0,-182702,-29815692] 1
45662f (1 curve)	2	2+ 17+ 79-	2+  1  1  3 -4 -7 17+ -6
Curve Equation t Generators 45662f1 [1,0,1,-1018,11680] 1 [-10:149:1]&[5:79:1]
45662g (1 curve)	0	2+ 17- 79+	2+  0  0 -5 -1  4 17-  5
Curve Equation t 45662g1 [1,-1,0,-632,-5920] 1
45662h (2 curves)	1	2+ 17- 79-	2+  1  0  2  6  2 17-  2
Curve Equation t Generators 45662h1 [1,0,1,-117196,-17392478] 3 [513780964107204778749312093888210:-12675757834293823883940622010651557:670307867750127188574950859000] 45662h2 [1,0,1,-9820371,-11845950930] 1 [1767496842317656303580441109142063394254105286928816780317273825440301213166340038350300368110:-314638176684167213586514829278153844917825116389647251976940343590261956105756495411611903065723:55527583039734239261847083530697719500654256908799052906664204626297772841649293452069000]
45662i (1 curve)	1	2+ 17- 79-	2+ -1  0  2  2  6 17- -2
Curve Equation t Generators 45662i1 [1,1,0,79325,-103054579] 1 [568341884110634183425:-26013322491358173528372:279409446128588777]
45662j (2 curves)	1	2+ 17- 79-	2+ -2 -3 -4  3 -1 17- -1
Curve Equation t Generators 45662j1 [1,0,1,-1885,31332] 3 [25:-12:1] 45662j2 [1,0,1,-440,78150] 1 [33:299:1]
45662k (2 curves)	0	2- 17+ 79+	2-  0  0  0  2 -2 17+  0
Curve Equation t 45662k1 [1,-1,1,1547685,-952290037] 2 45662k2 [1,-1,1,-10289755,-9612561141] 2
45662l (2 curves)	0	2- 17+ 79+	2- -1  3 -5  6 -1 17+ -4
Curve Equation t 45662l1 [1,1,1,-25759154,50216102463] 1 45662l2 [1,1,1,-115256674,-430953249921] 1
45662m (2 curves)	0	2- 17+ 79+	2- -2  0  4  2 -6 17+  4
Curve Equation t 45662m1 [1,0,0,-836083,-248507295] 2 45662m2 [1,0,0,-3795443,2609642593] 2
45662n (1 curve)	0	2- 17+ 79+	2- -2  3 -2  5  3 17+ -5
Curve Equation t 45662n1 [1,0,0,11,-3] 1
45662o (1 curve)	0	2- 17+ 79+	2-  3  3  3  2 -5 17+  0
Curve Equation t 45662o1 [1,-1,1,-2511,35479] 1
45662p (2 curves)	1	2- 17+ 79-	2-  1 -1 -3 -2 -1 17+  0
Curve Equation t Generators 45662p1 [1,0,0,-121386,16125092] 1 [-44:4646:1] 45662p2 [1,0,0,-6756826,-6760601228] 1 [-1506:1042:1]
45662q (1 curve)	1	2- 17+ 79-	2- -1 -1  5  0  1 17+ -6
Curve Equation t Generators 45662q1 [1,1,1,-24571,1444425] 1 [69:254:1]
45662r (2 curves)	1	2- 17+ 79-	2- -2  2  0  4  2 17+  0
Curve Equation t Generators 45662r1 [1,0,0,283,3805] 2 [-14314:274357:4913] 45662r2 [1,0,0,-2607,43687] 2 [2334:38137:8]
45662s (2 curves)	1	2- 17+ 79-	2- -2 -2  0  0  2 17+  8
Curve Equation t Generators 45662s1 [1,0,0,-59829,-73368671] 2 [754:17239:1] 45662s2 [1,0,0,-3019189,-2004647007] 2 [10122:997191:1]
45662t (1 curve)	0	2- 17- 79-	2-  2 -3  2 -5  3 17- -5
Curve Equation t 45662t1 [1,1,1,3173,-17915] 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