Cremona's table of elliptic curves

34680 = 2³ · 3 · 5 · 17²

Class	r	Atkin-Lehner	Eigenvalues
34680a (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  1  3 -4 17+ -5
Curve Equation t Generators 34680a1 [0,-1,0,-63676,6243085] 1 [210:1445:1]
34680b (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  1 -3  6 17+ -5
Curve Equation t Generators 34680b1 [0,-1,0,11464,-2265075] 1 [80874:437257:729]
34680c (2 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -2 -4  4 17+ -4
Curve Equation t Generators 34680c1 [0,-1,0,23024,-2103524] 2 [481470:9728896:1331] 34680c2 [0,-1,0,-173496,-22305780] 2 [941:25432:1]
34680d (2 curves)	1	2+ 3+ 5+ 17+	2+ 3+ 5+  4  4 -2 17+ -4
Curve Equation t Generators 34680d1 [0,-1,0,-160491,-14513184] 2 [-746629:1790257:2197] 34680d2 [0,-1,0,502764,-104185260] 2 [37850920143479362:-8892367974165630500:685895617259]
34680e (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -5  0 -1 17+ -5
Curve Equation t Generators 34680e1 [0,-1,0,-436,-4364] 1 [66:500:1]
34680f (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  1  5  4 17+ -1
Curve Equation t 34680f1 [0,-1,0,607960,559897725] 1
34680g (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  1 -5 -2 17+ -1
Curve Equation t 34680g1 [0,-1,0,-151260,-27347283] 1
34680h (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5- -1  4 -1 17+ -1
Curve Equation t 34680h1 [0,-1,0,-30900,2229300] 1
34680i (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5- -1 -5  2 17+ -1
Curve Equation t 34680i1 [0,-1,0,-4720,-124163] 1
34680j (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  2  0 -2 17+ -8
Curve Equation t 34680j1 [0,-1,0,-11520,-472068] 2 34680j2 [0,-1,0,-12200,-412500] 2
34680k (1 curve)	2	2+ 3+ 5- 17+	2+ 3+ 5- -2 -3 -4 17+ -5
Curve Equation t Generators 34680k1 [0,-1,0,-385,2725] 1 [25:90:1]&[-15:70:1]
34680l (4 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  4  0  2 17+  4
Curve Equation t 34680l1 [0,-1,0,-5848300,165249768052] 2 34680l2 [0,-1,0,-488599680,4113962955900] 4 34680l3 [0,-1,0,-906204680,-3959678030100] 2 34680l4 [0,-1,0,-7795016760,264897523942092] 2
34680m (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  4 -1  4 17+ -1
Curve Equation t 34680m1 [0,-1,0,-2115865,-1183350275] 1
34680n (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5- -4  0 -2 17+  4
Curve Equation t 34680n1 [0,-1,0,-3275,579552] 2 34680n2 [0,-1,0,-126100,17185492] 2
34680o (4 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5- -4  0 -6 17+  4
Curve Equation t 34680o1 [0,-1,0,1060,-6540] 2 34680o2 [0,-1,0,-4720,-50468] 4 34680o3 [0,-1,0,-39400,2987500] 2 34680o4 [0,-1,0,-62520,-5992308] 2
34680p (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  0 -2 17+ -4
Curve Equation t 34680p1 [0,1,0,-663351,207731070] 2 34680p2 [0,1,0,-664796,206779104] 4 34680p3 [0,1,0,-196616,492930720] 2 34680p4 [0,1,0,-1156096,-140275216] 2
34680q (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+ -1  5 -2 17+ -1
Curve Equation t 34680q1 [0,1,0,-43714236,-134619486615] 1
34680r (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2  0 -2 17+ -8
Curve Equation t 34680r1 [0,1,0,-3329376,-2339246160] 2 34680r2 [0,1,0,-3525896,-2047767696] 2
34680s (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3  3  4 17+ -1
Curve Equation t 34680s1 [0,1,0,-96,-15135] 1
34680t (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  4  0 -2 17+  4
Curve Equation t 34680t1 [0,1,0,-11,114] 2 34680t2 [0,1,0,-436,3344] 2
34680u (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  1 -4 -1 17- -1
Curve Equation t Generators 34680u1 [0,1,0,-8930196,10898969904] 1 [3564:156060:1]
34680v (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  2  3 -4 17- -5
Curve Equation t Generators 34680v1 [0,1,0,-111361,12719939] 1 [-193:5202:1]
34680w (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -4  1  4 17- -1
Curve Equation t Generators 34680w1 [0,1,0,-7321,-243445] 1 [-49:6:1]
34680x (4 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  0  0 -2 17+  4
Curve Equation t Generators 34680x1 [0,1,0,-9055,319238] 4 [-107:273:1] 34680x2 [0,1,0,-22060,-820000] 4 [-268892:545160:2197] 34680x3 [0,1,0,64640,-5605840] 2 [39738984077:397969985490:451217663] 34680x4 [0,1,0,-316840,-68737312] 2 [37156:7161420:1]
34680y (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5- -1  3  6 17+ -5
Curve Equation t Generators 34680y1 [0,1,0,40,-447] 1 [28:153:1]
34680z (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  3 -3  4 17+ -5
Curve Equation t Generators 34680z1 [0,1,0,2209020,-6242345775] 1 [2340:108375:1]
34680ba (2 curves)	1	2+ 3- 5- 17+	2+ 3- 5- -4 -4 -2 17+ -4
Curve Equation t Generators 34680ba1 [0,1,0,-555,-3150] 2 [-15:45:1] 34680ba2 [0,1,0,1740,-20592] 2 [36:300:1]
34680bb (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  5  0 -1 17- -5
Curve Equation t 34680bb1 [0,1,0,-126100,-22196752] 1
34680bc (6 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0  4  6 17+ -4
Curve Equation t 34680bc1 [0,-1,0,-4431,114840] 2 34680bc2 [0,-1,0,-5876,35076] 4 34680bc3 [0,-1,0,23024,254716] 2 34680bc4 [0,-1,0,-57896,-5312580] 4 34680bc5 [0,-1,0,-23216,-11652084] 2 34680bc6 [0,-1,0,-924896,-342055380] 2
34680bd (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -1  0  3 17+ -5
Curve Equation t 34680bd1 [0,-1,0,306244,-54898044] 1
34680be (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  2  0  0 17+  4
Curve Equation t 34680be1 [0,-1,0,-11656,698620] 2 34680be2 [0,-1,0,-208176,36622476] 2
34680bf (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  3  1 -6 17+ -1
Curve Equation t 34680bf1 [0,-1,0,-820856,406872225] 1
34680bg (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -3 -5  0 17+ -1
Curve Equation t 34680bg1 [0,-1,0,-27593816,-55782045255] 1
34680bh (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+ -1 -2 -3 17-  3
Curve Equation t Generators 34680bh1 [0,-1,0,11464,-1012260] 1 [193:2890:1]
34680bi (4 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  4 -2 17+  4
Curve Equation t Generators 34680bi1 [0,-1,0,2505,-162600] 4 [14903:55705:343] 34680bi2 [0,-1,0,-33620,-2156700] 4 [-128:182:1] 34680bi3 [0,-1,0,-120320,13692060] 2 [8542:788788:1] 34680bi4 [0,-1,0,-524920,-146205860] 2 [2933266:270233496:343]
34680bj (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  0 -5  4 17+  7
Curve Equation t Generators 34680bj1 [0,-1,0,-5145,143757] 1 [39:-30:1]
34680bk (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  3  4 -5 17+  7
Curve Equation t Generators 34680bk1 [0,-1,0,-10742940,-13549347900] 1 [3880:56250:1]
34680bl (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  3 -5 -2 17+ -5
Curve Equation t Generators 34680bl1 [0,-1,0,-149220,24816537] 1 [992:29189:1]
34680bm (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  4 -4 -4 17+  0
Curve Equation t Generators 34680bm1 [0,-1,0,40,-420] 2 [868:3157:64] 34680bm2 [0,-1,0,-640,-5588] 2 [57:374:1]
34680bn (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5- -1  4 -1 17- -7
Curve Equation t 34680bn1 [0,-1,0,-3275,-422700] 1
34680bo (1 curve)	0	2- 3+ 5- 17-	2- 3+ 5-  3  2 -3 17-  7
Curve Equation t 34680bo1 [0,-1,0,-594280,-176308100] 1
34680bp (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1 -4 -1 17+ -7
Curve Equation t Generators 34680bp1 [0,1,0,-11,-90] 1 [7:15:1]
34680bq (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3  1 -6 17+ -5
Curve Equation t Generators 34680bq1 [0,1,0,5684,157109] 1 [62:867:1]
34680br (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3 -2 -3 17+  7
Curve Equation t Generators 34680br1 [0,1,0,-171747016,-867232177216] 1 [20039:1933500:1]
34680bs (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+  4 -4  2 17+ -4
Curve Equation t Generators 34680bs1 [0,1,0,-98356,17352320] 2 [470:8670:1] 34680bs2 [0,1,0,-1768776,904679424] 4 [384:16800:1] 34680bs3 [0,1,0,-1965296,691022880] 2 [3955:234090:1] 34680bs4 [0,1,0,-28298976,57933997344] 2 [201444:472395:64]
34680bt (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -4  4 -4 17+  0
Curve Equation t Generators 34680bt1 [0,1,0,11464,-1994496] 2 [30342712504751520:-3561593093783859232:2202581720331] 34680bt2 [0,1,0,-185056,-28564000] 2 [-16404866:19711665:54872]
34680bu (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  0  5  4 17-  7
Curve Equation t 34680bu1 [0,1,0,-1487001,697356315] 1
34680bv (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -3 -4 -5 17-  7
Curve Equation t 34680bv1 [0,1,0,-3104709756,-66586574491056] 1
34680bw (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  4  6 17+  4
Curve Equation t 34680bw1 [0,1,0,-274935,45397458] 4 34680bw2 [0,1,0,-1328340,-548301600] 4 34680bw3 [0,1,0,1324680,-2462720832] 2 34680bw4 [0,1,0,-20835840,-36613767600] 2
34680bx (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  1  2 -3 17+  3
Curve Equation t 34680bx1 [0,1,0,40,-192] 1
34680by (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  1  0  3 17- -5
Curve Equation t Generators 34680by1 [0,1,0,1060,-10800] 1 [130:1530:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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