Cremona's table of elliptic curves

30855 = 3 · 5 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
30855a (1 curve)	1	3+ 5+ 11+ 17+	-1 3+ 5+  3 11+  1 17+ -7
Curve Equation t Generators 30855a1 [1,1,1,14,-76] 1 [6:13:1]
30855b (1 curve)	0	3+ 5+ 11+ 17-	1 3+ 5+ -3 11+ -1 17-  7
Curve Equation t 30855b1 [1,1,0,1692,109377] 1
30855c (4 curves)	0	3+ 5+ 11- 17+	1 3+ 5+  0 11- -6 17+  0
Curve Equation t 30855c1 [1,1,0,-30373,-1280792] 2 30855c2 [1,1,0,-205218,34772247] 4 30855c3 [1,1,0,51907,116383722] 2 30855c4 [1,1,0,-3259863,2264052168] 2
30855d (4 curves)	1	3+ 5+ 11- 17-	-1 3+ 5+ -4 11-  2 17- -4
Curve Equation t Generators 30855d1 [1,1,1,-13736,-324136] 4 [-49:508:1] 30855d2 [1,1,1,-188581,-31586422] 4 [4558:52167:8] 30855d3 [1,1,1,-157726,-42225226] 2 [121434:1422925:216] 30855d4 [1,1,1,-3016956,-2018237022] 2 [70382:-6497321:8]
30855e (1 curve)	0	3- 5+ 11+ 17+	1 3- 5+  1 11+ -3 17+ -5
Curve Equation t 30855e1 [1,0,1,-43574,-3536359] 1
30855f (2 curves)	0	3- 5+ 11+ 17+	1 3- 5+ -4 11+  2 17+  0
Curve Equation t 30855f1 [1,0,1,-410919,101342701] 2 30855f2 [1,0,1,-444194,83959841] 2
30855g (1 curve)	0	3- 5+ 11+ 17+	2 3- 5+  1 11+ -2 17+  0
Curve Equation t 30855g1 [0,1,1,4658944,3726753575] 1
30855h (1 curve)	1	3- 5+ 11+ 17-	-1 3- 5+ -1 11+  3 17-  5
Curve Equation t Generators 30855h1 [1,0,0,-5272396,4701621101] 1 [1583:17177:1]
30855i (2 curves)	1	3- 5+ 11+ 17-	-1 3- 5+  4 11+ -2 17-  0
Curve Equation t Generators 30855i1 [1,0,0,-3396,-76449] 2 [461:9587:1] 30855i2 [1,0,0,-3671,-63414] 2 [-47:100:1]
30855j (1 curve)	1	3- 5+ 11+ 17-	-2 3- 5+ -1 11+  2 17-  0
Curve Equation t Generators 30855j1 [0,1,1,38504,-2785964] 1 [227:-4208:1]
30855k (2 curves)	1	3- 5+ 11- 17+	0 3- 5+  1 11- -2 17+ -2
Curve Equation t Generators 30855k1 [0,1,1,-226431,-42747325] 1 [579:4537:1] 30855k2 [0,1,1,1069479,-150178264] 1 [2231874:87907979:12167]
30855l (4 curves)	0	3- 5+ 11- 17-	-1 3- 5+  0 11- -2 17-  8
Curve Equation t 30855l1 [1,0,0,-1661151,519122880] 2 30855l2 [1,0,0,-11114276,-13881767745] 4 30855l3 [1,0,0,3027599,-46784254120] 2 30855l4 [1,0,0,-176506151,-902598468870] 2
30855m (2 curves)	1	3- 5- 11+ 17+	1 3- 5-  4 11+ -6 17+  4
Curve Equation t Generators 30855m1 [1,0,1,-866537873,9818018590103] 2 [-204043299:-6754428739195:2146689] 30855m2 [1,0,1,-13864584748,628358674840103] 2 [-10257:679646990:27]
30855n (1 curve)	1	3- 5- 11+ 17+	-2 3- 5-  1 11+ -6 17+ -8
Curve Equation t Generators 30855n1 [0,1,1,290,8014] 1 [-4:82:1]
30855o (2 curves)	0	3- 5- 11+ 17-	-1 3- 5- -4 11+  6 17- -4
Curve Equation t 30855o1 [1,0,0,-7161470,-7377073725] 2 30855o2 [1,0,0,-114583345,-472105589350] 2
30855p (1 curve)	0	3- 5- 11+ 17-	2 3- 5- -1 11+  6 17-  8
Curve Equation t 30855p1 [0,1,1,35050,-10526719] 1
30855q (1 curve)	0	3- 5- 11- 17+	0 3- 5-  1 11- -2 17+ -1
Curve Equation t 30855q1 [0,1,1,-370905,-195119116] 1
30855r (1 curve)	1	3- 5- 11- 17-	0 3- 5- -1 11-  2 17-  1
Curve Equation t Generators 30855r1 [0,1,1,-3065,145481] 1 [55:382:1]
30855s (4 curves)	1	3- 5- 11- 17-	-1 3- 5-  0 11- -2 17- -4
Curve Equation t Generators 30855s1 [1,0,0,11190,419475] 2 [-25:365:1] 30855s2 [1,0,0,-62015,3889392] 4 [-251:2038:1] 30855s3 [1,0,0,-401420,-95013225] 2 [-10770:40385:27] 30855s4 [1,0,0,-893890,325159517] 4 [-991:15923:1]

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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