Cremona's table of elliptic curves

58905 = 3² · 5 · 7 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
58905a (2 curves)	1	3+ 5+ 7+ 11+ 17+	1 3+ 5+ 7+ 11+ -6 17+ -8
Curve Equation t Generators 58905a1 [1,-1,0,811470,-818512849] 2 [21532432194194:432421315917715:28177720507] 58905a2 [1,-1,0,-9735405,-10527965974] 2 [19275110:520731032:4913]
58905b (2 curves)	0	3+ 5+ 7+ 11+ 17-	1 3+ 5+ 7+ 11+  0 17-  8
Curve Equation t 58905b1 [1,-1,0,-67635,4705616] 2 58905b2 [1,-1,0,184470,31378325] 2
58905c (2 curves)	0	3+ 5+ 7- 11+ 17+	-1 3+ 5+ 7- 11+  4 17+  6
Curve Equation t 58905c1 [1,-1,1,-31262303,-67158816794] 2 58905c2 [1,-1,1,-41809178,-17909129294] 2
58905d (2 curves)	1	3+ 5+ 7- 11- 17+	0 3+ 5+ 7- 11- -4 17+ -7
Curve Equation t Generators 58905d1 [0,0,1,-258,2229] 3 [-19:16:1] 58905d2 [0,0,1,2052,-29572] 1 [114:401:8]
58905e (2 curves)	1	3+ 5+ 7- 11- 17+	-1 3+ 5+ 7- 11-  4 17+  6
Curve Equation t Generators 58905e1 [1,-1,1,-14933,660556] 2 [-104:1091:1] 58905e2 [1,-1,1,-48008,-3255524] 2 [-139:916:1]
58905f (2 curves)	0	3+ 5+ 7- 11- 17-	1 3+ 5+ 7- 11- -4 17-  0
Curve Equation t 58905f1 [1,-1,0,22260,314531] 2 58905f2 [1,-1,0,-92085,2624300] 2
58905g (2 curves)	0	3+ 5+ 7- 11- 17-	1 3+ 5+ 7- 11- -4 17-  6
Curve Equation t 58905g1 [1,-1,0,-252600,-48801925] 2 58905g2 [1,-1,0,-253275,-48527470] 2
58905h (2 curves)	0	3+ 5+ 7- 11- 17-	-1 3+ 5+ 7- 11- -4 17-  8
Curve Equation t 58905h1 [1,-1,1,-7298,-238128] 2 58905h2 [1,-1,1,-7193,-245394] 2
58905i (2 curves)	1	3+ 5- 7+ 11- 17+	-1 3+ 5- 7+ 11-  0 17+  8
Curve Equation t Generators 58905i1 [1,-1,1,-608717,-126442916] 2 [1609706:107856958:343] 58905i2 [1,-1,1,1660228,-848875004] 2 [18646:2542649:1]
58905j (2 curves)	2	3+ 5- 7+ 11- 17-	-1 3+ 5- 7+ 11- -6 17- -8
Curve Equation t Generators 58905j1 [1,-1,1,90163,30285236] 2 [-194:2434:1]&[-84:4744:1] 58905j2 [1,-1,1,-1081712,390285236] 2 [-1104:15979:1]&[-1019:21334:1]
58905k (2 curves)	1	3+ 5- 7- 11+ 17+	1 3+ 5- 7- 11+ -4 17+  8
Curve Equation t Generators 58905k1 [1,-1,0,-65679,6495128] 2 [806:7157:8] 58905k2 [1,-1,0,-64734,6690365] 2 [76:1447:1]
58905l (2 curves)	1	3+ 5- 7- 11+ 17+	-1 3+ 5- 7- 11+ -4 17+  0
Curve Equation t Generators 58905l1 [1,-1,1,2473,-12474] 2 [26:-276:1] 58905l2 [1,-1,1,-10232,-93786] 2 [-28:426:1]
58905m (2 curves)	1	3+ 5- 7- 11+ 17+	-1 3+ 5- 7- 11+ -4 17+  6
Curve Equation t Generators 58905m1 [1,-1,1,-28067,1816834] 2 [98:-32:1] 58905m2 [1,-1,1,-28142,1806694] 2 [64:-547:1]
58905n (2 curves)	0	3+ 5- 7- 11+ 17-	0 3+ 5- 7- 11+ -4 17- -7
Curve Equation t 58905n1 [0,0,1,228,1095] 3 58905n2 [0,0,1,-2322,-60190] 1
58905o (2 curves)	0	3+ 5- 7- 11+ 17-	1 3+ 5- 7- 11+  4 17-  6
Curve Equation t 58905o1 [1,-1,0,-1659,-23912] 2 58905o2 [1,-1,0,-5334,122353] 2
58905p (2 curves)	1	3+ 5- 7- 11- 17-	1 3+ 5- 7- 11-  4 17-  6
Curve Equation t Generators 58905p1 [1,-1,0,-3473589,2488521448] 2 [9646:52927:8] 58905p2 [1,-1,0,-4645464,664849573] 2 [-1588:64319:1]
58905q (1 curve)	2	3- 5+ 7+ 11+ 17+	0 3- 5+ 7+ 11+ -1 17+ -8
Curve Equation t Generators 58905q1 [0,0,1,-48,2443] 1 [7:-50:1]&[-11:40:1]
58905r (4 curves)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+  2 17+  0
Curve Equation t 58905r1 [1,-1,0,2025,0] 2 58905r2 [1,-1,0,-8100,6075] 4 58905r3 [1,-1,0,-88425,-10066680] 2 58905r4 [1,-1,0,-89775,10346130] 2
58905s (4 curves)	0	3- 5+ 7+ 11+ 17+	1 3- 5+ 7+ 11+  6 17+ -4
Curve Equation t 58905s1 [1,-1,0,-221660745,1270282289696] 2 58905s2 [1,-1,0,-221660790,1270281748175] 4 58905s3 [1,-1,0,-220113915,1288883538800] 2 58905s4 [1,-1,0,-223208385,1251645299666] 2
58905t (2 curves)	1	3- 5+ 7+ 11+ 17-	1 3- 5+ 7+ 11+  0 17-  2
Curve Equation t Generators 58905t1 [1,-1,0,-7425,582736] 2 [-146:6823:8] 58905t2 [1,-1,0,-159300,24487861] 2 [212:353:1]
58905u (8 curves)	1	3- 5+ 7+ 11- 17+	1 3- 5+ 7+ 11- -2 17+  4
Curve Equation t Generators 58905u1 [1,-1,0,-8051580,-8791649685] 2 [1514868153625431072:57403457731012827447:376742497255424] 58905u2 [1,-1,0,-8051625,-8791546464] 4 [25030216254:2858132930313:1815848] 58905u3 [1,-1,0,-7757100,-9464653899] 2 [221950044742526658:-25579196133636691513:16106105087064] 58905u4 [1,-1,0,-8346870,-8111833425] 4 [-1386306:-20949479:729] 58905u5 [1,-1,0,13264335,-43160885694] 2 [1155197051262:-77892115932307:295408296] 58905u6 [1,-1,0,-34681995,70435310400] 4 [2256:59460:1] 58905u7 [1,-1,0,47972430,355047557445] 2 [-165736332:17527429333:46656] 58905u8 [1,-1,0,-538698420,4812524246655] 2 [493452126:138373678783:5832]
58905v (4 curves)	1	3- 5+ 7+ 11- 17+	-1 3- 5+ 7+ 11- -6 17+ -4
Curve Equation t Generators 58905v1 [1,-1,1,-119228,-10256538] 2 [-168:2322:1] 58905v2 [1,-1,1,-778073,256707456] 4 [-454:22947:1] 58905v3 [1,-1,1,251032,885696432] 2 [-223:28722:1] 58905v4 [1,-1,1,-12348698,16705507956] 2 [2043:56:1]
58905w (1 curve)	1	3- 5+ 7+ 11- 17+	-2 3- 5+ 7+ 11- -2 17+  1
Curve Equation t Generators 58905w1 [0,0,1,-3,1638] 1 [-1:40:1]
58905x (4 curves)	0	3- 5+ 7+ 11- 17-	-1 3- 5+ 7+ 11- -6 17-  8
Curve Equation t 58905x1 [1,-1,1,-1122818,448622232] 2 58905x2 [1,-1,1,-2500943,-868314018] 4 58905x3 [1,-1,1,7980682,-6260061918] 2 58905x4 [1,-1,1,-35032568,-79777023618] 2
58905y (6 curves)	0	3- 5+ 7- 11- 17+	1 3- 5+ 7- 11- -2 17+  4
Curve Equation t 58905y1 [1,-1,0,19620,-527189] 2 58905y2 [1,-1,0,-88425,-4395200] 4 58905y3 [1,-1,0,-725670,235081471] 4 58905y4 [1,-1,0,-1179900,-492721115] 2 58905y5 [1,-1,0,-77715,639275800] 2 58905y6 [1,-1,0,-11569545,15149747146] 2
58905z (4 curves)	0	3- 5+ 7- 11- 17+	1 3- 5+ 7- 11-  6 17+  0
Curve Equation t 58905z1 [1,-1,0,-3780,82075] 2 58905z2 [1,-1,0,-58905,5517400] 4 58905z3 [1,-1,0,-57330,5825155] 2 58905z4 [1,-1,0,-942480,352408945] 2
58905ba (4 curves)	0	3- 5+ 7- 11- 17+	1 3- 5+ 7- 11- -6 17+  0
Curve Equation t 58905ba1 [1,-1,0,-648306135,-6180881475200] 2 58905ba2 [1,-1,0,-10294455780,-402022207537349] 4 58905ba3 [1,-1,0,-10216053225,-408447155795000] 2 58905ba4 [1,-1,0,-164711252655,-25729557881052974] 2
58905bb (1 curve)	0	3- 5+ 7- 11- 17+	2 3- 5+ 7- 11- -5 17+ -8
Curve Equation t 58905bb1 [0,0,1,-189003,-31924967] 1
58905bc (2 curves)	1	3- 5+ 7- 11- 17-	1 3- 5+ 7- 11- -2 17- -6
Curve Equation t Generators 58905bc1 [1,-1,0,-8782740,-10016081325] 2 [77070:7114215:8] 58905bc2 [1,-1,0,-8743365,-10110368700] 2 [102572778:9469606485:10648]
58905bd (4 curves)	1	3- 5+ 7- 11- 17-	-1 3- 5+ 7- 11-  2 17- -4
Curve Equation t Generators 58905bd1 [1,-1,1,-46463,3866406] 2 [126:-39:1] 58905bd2 [1,-1,1,-47588,3670206] 4 [-160:2757:1] 58905bd3 [1,-1,1,55687,17343816] 2 [68:-4665:1] 58905bd4 [1,-1,1,-168863,-22573704] 2 [-237:2141:1]
58905be (2 curves)	1	3- 5+ 7- 11- 17-	-1 3- 5+ 7- 11- -2 17-  2
Curve Equation t Generators 58905be1 [1,-1,1,-10103,-252538] 2 [-48:370:1] 58905be2 [1,-1,1,29272,-1764538] 2 [195:3268:1]
58905bf (2 curves)	0	3- 5- 7+ 11+ 17-	1 3- 5- 7+ 11+  6 17-  8
Curve Equation t 58905bf1 [1,-1,0,-99,-5720] 2 58905bf2 [1,-1,0,-5454,-152447] 2
58905bg (2 curves)	0	3- 5- 7+ 11+ 17-	-1 3- 5- 7+ 11+ -2 17- -2
Curve Equation t 58905bg1 [1,-1,1,-71537,7243224] 2 58905bg2 [1,-1,1,5638,21999084] 2
58905bh (1 curve)	0	3- 5- 7+ 11+ 17-	-2 3- 5- 7+ 11+ -6 17- -1
Curve Equation t 58905bh1 [0,0,1,338073,84363160] 1
58905bi (4 curves)	0	3- 5- 7+ 11- 17+	1 3- 5- 7+ 11- -2 17+ -4
Curve Equation t 58905bi1 [1,-1,0,-13914,-1271025] 2 58905bi2 [1,-1,0,-280719,-57139992] 4 58905bi3 [1,-1,0,-339624,-31374945] 2 58905bi4 [1,-1,0,-4490694,-3661720587] 2
58905bj (4 curves)	0	3- 5- 7+ 11- 17+	1 3- 5- 7+ 11- -2 17+ -8
Curve Equation t 58905bj1 [1,-1,0,-81697824,179176765243] 2 58905bj2 [1,-1,0,-1167888429,15359124946360] 4 58905bj3 [1,-1,0,-1029710304,19130531054485] 2 58905bj4 [1,-1,0,-18685116234,983091368142463] 2
58905bk (1 curve)	0	3- 5- 7+ 11- 17+	2 3- 5- 7+ 11-  3 17+ -4
Curve Equation t 58905bk1 [0,0,1,2283,-21245] 1
58905bl (1 curve)	0	3- 5- 7+ 11- 17+	-2 3- 5- 7+ 11- -2 17+  1
Curve Equation t 58905bl1 [0,0,1,-444657,-114603188] 1
58905bm (1 curve)	1	3- 5- 7+ 11- 17-	0 3- 5- 7+ 11-  1 17-  4
Curve Equation t Generators 58905bm1 [0,0,1,10788,2481115] 1 [73:-1913:1]
58905bn (4 curves)	1	3- 5- 7+ 11- 17-	-1 3- 5- 7+ 11-  2 17- -8
Curve Equation t Generators 58905bn1 [1,-1,1,6403,45204] 2 [18:398:1] 58905bn2 [1,-1,1,-26402,386376] 4 [-120:1407:1] 58905bn3 [1,-1,1,-253607,-48780786] 2 [1097:30951:1] 58905bn4 [1,-1,1,-324077,70994886] 4 [-456:11354:1]
58905bo (2 curves)	0	3- 5- 7- 11+ 17+	-1 3- 5- 7- 11+  2 17+  0
Curve Equation t 58905bo1 [1,-1,1,-706172,404035926] 2 58905bo2 [1,-1,1,-13563527,19222060704] 2
58905bp (2 curves)	0	3- 5- 7- 11+ 17+	-1 3- 5- 7- 11+  2 17+  6
Curve Equation t 58905bp1 [1,-1,1,-842,-8616] 2 58905bp2 [1,-1,1,733,-38226] 2
58905bq (4 curves)	1	3- 5- 7- 11+ 17-	-1 3- 5- 7- 11+ -6 17-  4
Curve Equation t Generators 58905bq1 [1,-1,1,-2777,56504] 4 [-51:277:1] 58905bq2 [1,-1,1,-4982,-44044] 4 [126:-1211:1] 58905bq3 [1,-1,1,18643,-355894] 2 [91:-1491:1] 58905bq4 [1,-1,1,-63887,-6193726] 2 [-143:121:1]
58905br (1 curve)	1	3- 5- 7- 11+ 17-	-2 3- 5- 7- 11+ -3 17-  4
Curve Equation t Generators 58905br1 [0,0,1,-6807,250470] 1 [-60:665:1]
58905bs (2 curves)	0	3- 5- 7- 11- 17-	1 3- 5- 7- 11- -2 17-  0
Curve Equation t 58905bs1 [1,-1,0,891,-7592] 2 58905bs2 [1,-1,0,-4464,-64355] 2
58905bt (1 curve)	0	3- 5- 7- 11- 17-	2 3- 5- 7- 11- -2 17-  1
Curve Equation t 58905bt1 [0,0,1,-358077,-112161515] 1

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