Cremona's table of elliptic curves

17298 = 2 · 3² · 31²

Class	r	Atkin-Lehner	Eigenvalues
17298a (1 curve)	0	2+ 3+ 31-	2+ 3+  1  2  5  5  5  1
Curve Equation t 17298a1 [1,-1,0,-28824,-1876384] 1
17298b (1 curve)	0	2+ 3+ 31-	2+ 3+  1  2 -5 -5 -5  1
Curve Equation t 17298b1 [1,-1,0,-27700044,56120955632] 1
17298c (1 curve)	0	2+ 3+ 31-	2+ 3+ -1  0  3  1  3  1
Curve Equation t 17298c1 [1,-1,0,-180,-58606] 1
17298d (2 curves)	2	2+ 3+ 31-	2+ 3+  3 -4 -3 -5 -3 -7
Curve Equation t Generators 17298d1 [1,-1,0,-46308,-8209808] 1 [287:1298:1]&[9587:933623:1] 17298d2 [1,-1,0,400557,177537077] 1 [-23:12985:1]&[1597:69118:1]
17298e (2 curves)	0	2+ 3- 31+	2+ 3- -1 -3  3  5 -3  7
Curve Equation t 17298e1 [1,-1,0,-620025,-108156691] 1 17298e2 [1,-1,0,-660192765,6529279095377] 1
17298f (2 curves)	0	2+ 3- 31+	2+ 3-  2  1 -3 -4  0 -8
Curve Equation t 17298f1 [1,-1,0,94959,-187758243] 1 17298f2 [1,-1,0,-1096511751,13975796641707] 1
17298g (2 curves)	1	2+ 3- 31-	2+ 3- -1 -2 -3  1  3 -5
Curve Equation t Generators 17298g1 [1,-1,0,129555,6202309] 1 [39:3344:1] 17298g2 [1,-1,0,-12065535,-16136204801] 1 [187473705:36370104551:4913]
17298h (2 curves)	1	2+ 3- 31-	2+ 3- -1 -3 -3 -5  3  7
Curve Equation t Generators 17298h1 [1,-1,0,-645,3797] 1 [26:51:1] 17298h2 [1,-1,0,-686985,-218992231] 1 [1700:58513:1]
17298i (4 curves)	1	2+ 3- 31-	2+ 3-  2  0  0 -2 -6  4
Curve Equation t Generators 17298i1 [1,-1,0,-5946,881252] 2 [659:16488:1] 17298i2 [1,-1,0,-178926,29076992] 4 [-38:6004:1] 17298i3 [1,-1,0,-265416,-1869130] 2 [-33215:1658635:343] 17298i4 [1,-1,0,-2860116,1862474714] 2 [144205:1160874:125]
17298j (2 curves)	1	2+ 3- 31-	2+ 3-  2  1  3  4  0 -8
Curve Equation t Generators 17298j1 [1,-1,0,99,6277] 1 [17:104:1] 17298j2 [1,-1,0,-1141011,-468833693] 1 [17954163585499866403:3704908012445671662436:419332001782049]
17298k (1 curve)	1	2- 3+ 31-	2- 3+  1  0 -3  1 -3  1
Curve Equation t Generators 17298k1 [1,-1,1,-1622,1583983] 1 [-394:10129:8]
17298l (1 curve)	1	2- 3+ 31-	2- 3+ -1  2  5 -5  5  1
Curve Equation t Generators 17298l1 [1,-1,1,-3077783,-2077527985] 1 [2397:64474:1]
17298m (1 curve)	1	2- 3+ 31-	2- 3+ -1  2 -5  5 -5  1
Curve Equation t Generators 17298m1 [1,-1,1,-3203,70563] 1 [39:42:1]
17298n (2 curves)	1	2- 3+ 31-	2- 3+ -3 -4  3 -5  3 -7
Curve Equation t Generators 17298n1 [1,-1,1,44506,-6590283] 1 [969:30267:1] 17298n2 [1,-1,1,-416774,222081589] 1 [1031:29275:1]
17298o (1 curve)	1	2- 3- 31+	2- 3- -2 -1 -3  0  2 -2
Curve Equation t Generators 17298o1 [1,-1,1,4144,-195789] 1 [101:1065:1]
17298p (2 curves)	1	2- 3- 31+	2- 3-  3 -1 -3  5 -3 -7
Curve Equation t Generators 17298p1 [1,-1,1,-39101,-1750687] 1 [-11478:95965:216] 17298p2 [1,-1,1,-1379696,624039059] 3 [49460838:5120683:74088]
17298q (1 curve)	0	2- 3- 31-	2- 3-  1  2  3 -3  1  7
Curve Equation t 17298q1 [1,-1,1,-722372,-268693423] 1
17298r (1 curve)	0	2- 3- 31-	2- 3- -1 -4  1  5  7 -5
Curve Equation t 17298r1 [1,-1,1,-843458,-1598548287] 1
17298s (1 curve)	2	2- 3- 31-	2- 3- -1 -4 -1 -5 -7 -5
Curve Equation t Generators 17298s1 [1,-1,1,-878,53885] 1 [-45:49:1]&[-23:259:1]
17298t (1 curve)	0	2- 3- 31-	2- 3- -2 -1  3  0 -2 -2
Curve Equation t 17298t1 [1,-1,1,3982684,5800880711] 1
17298u (2 curves)	0	2- 3- 31-	2- 3-  3 -1  3 -5  3 -7
Curve Equation t 17298u1 [1,-1,1,-41,69] 1 17298u2 [1,-1,1,-1436,-20577] 1
17298v (1 curve)	0	2- 3- 31-	2- 3- -3 -2  5  7 -1  7
Curve Equation t 17298v1 [1,-1,1,-142889,-21178263] 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
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