Cremona's table of elliptic curves

101175 = 3 · 5² · 19 · 71

Class	r	Atkin-Lehner	Eigenvalues
101175a (1 curve)	1	3+ 5+ 19+ 71+	0 3+ 5+  1  3  0  2 19+
Curve Equation t Generators 101175a1 [0,-1,1,-74633,9437543] 1 [2019:55774:27]
101175b (4 curves)	1	3+ 5+ 19+ 71+	1 3+ 5+  4  4 -6 -6 19+
Curve Equation t Generators 101175b1 [1,1,0,7275,-657000] 2 [6260:60945:64] 101175b2 [1,1,0,-83850,-8402625] 4 [49389340:977106305:85184] 101175b3 [1,1,0,-323475,61807500] 2 [4070137820944236226:-138916426065231595527:3043959831654776] 101175b4 [1,1,0,-1302225,-572510250] 2 [3985209523072580:-89538219877498265:2562354397504]
101175c (2 curves)	0	3+ 5+ 19+ 71-	1 3+ 5+ -2 -2  4  2 19+
Curve Equation t 101175c1 [1,1,0,-11900,628875] 2 101175c2 [1,1,0,-204275,35448750] 2
101175d (2 curves)	0	3+ 5+ 19+ 71-	-1 3+ 5+  4  2  0  0 19+
Curve Equation t 101175d1 [1,1,1,-4238,-111094] 2 101175d2 [1,1,1,-68363,-6908344] 2
101175e (2 curves)	0	3+ 5+ 19- 71+	-1 3+ 5+  2  2 -4  6 19-
Curve Equation t 101175e1 [1,1,1,-963,-217344] 2 101175e2 [1,1,1,-60338,-5679844] 2
101175f (1 curve)	1	3+ 5- 19+ 71-	1 3+ 5-  1  6  3 -2 19+
Curve Equation t Generators 101175f1 [1,1,0,-1914450,725639625] 1 [-3796839920:49016422685:2571353]
101175g (1 curve)	1	3+ 5- 19- 71+	-1 3+ 5- -3  4  4 -3 19-
Curve Equation t Generators 101175g1 [1,1,1,-13,-8344] 1 [84:727:1]
101175h (2 curves)	1	3- 5+ 19+ 71-	1 3- 5+ -2 -2 -4 -6 19+
Curve Equation t Generators 101175h1 [1,0,1,150849,13090573] 2 [82504:3260367:512] 101175h2 [1,0,1,-706526,112546073] 2 [9846:261323:8]
101175i (1 curve)	1	3- 5+ 19+ 71-	-1 3- 5+ -1  6 -3  2 19+
Curve Equation t Generators 101175i1 [1,0,0,-76578,5805117] 1 [-69:3315:1]
101175j (2 curves)	1	3- 5+ 19+ 71-	-1 3- 5+  2  4  4 -8 19+
Curve Equation t Generators 101175j1 [1,0,0,-30272963,65443101792] 2 [-4493:335059:1] 101175j2 [1,0,0,-487163588,4138623023667] 2 [12718:-1673:1]
101175k (2 curves)	1	3- 5+ 19+ 71-	-1 3- 5+ -4  0  6  2 19+
Curve Equation t Generators 101175k1 [1,0,0,-403838,-92901333] 2 [-43974096:265479223:110592] 101175k2 [1,0,0,-1261213,432669542] 2 [2686:53557:8]
101175l (6 curves)	1	3- 5+ 19- 71+	1 3- 5+  0  4  2  6 19-
Curve Equation t Generators 101175l1 [1,0,1,-1011126,491307523] 2 [4174:80217:8] 101175l2 [1,0,1,-17301251,27695816273] 4 [19374:-799:8] 101175l3 [1,0,1,-18429376,23878241273] 4 [399374:-89110799:8] 101175l4 [1,0,1,-276815126,1772667111773] 2 [168831078:-84314203:17576] 101175l5 [1,0,1,41432499,146834532523] 2 [9317:1153641:1] 101175l6 [1,0,1,-96341251,-343398337477] 2 [-6997202964390392:-152831773701732061:1158948504064]
101175m (1 curve)	1	3- 5+ 19- 71+	1 3- 5+  3  4 -4  3 19-
Curve Equation t Generators 101175m1 [1,0,1,-1,-67] 1 [2979:-467:729]
101175n (2 curves)	1	3- 5+ 19- 71+	-1 3- 5+  0  6  4  4 19-
Curve Equation t Generators 101175n1 [1,0,0,-6088,-176833] 2 [187:2194:1] 101175n2 [1,0,0,2787,-647208] 2 [107:884:1]
101175o (2 curves)	1	3- 5+ 19- 71+	-1 3- 5+ -2  2 -4 -6 19-
Curve Equation t Generators 101175o1 [1,0,0,-35588,2590167] 2 [67:679:1] 101175o2 [1,0,0,-569963,165574542] 2 [418:430:1]
101175p (1 curve)	1	3- 5+ 19- 71+	-2 3- 5+  5  1  4 -4 19-
Curve Equation t Generators 101175p1 [0,1,1,-9508,-388856] 1 [128:712:1]
101175q (4 curves)	0	3- 5+ 19- 71-	1 3- 5+  0 -4 -2  6 19-
Curve Equation t 101175q1 [1,0,1,-16876,-767227] 2 101175q2 [1,0,1,-62001,5099023] 4 101175q3 [1,0,1,106624,28032023] 2 101175q4 [1,0,1,-952626,357786523] 2
101175r (2 curves)	0	3- 5+ 19- 71-	1 3- 5+  2  0  4  8 19-
Curve Equation t 101175r1 [1,0,1,9974,-70177] 2 101175r2 [1,0,1,-40651,-576427] 2
101175s (1 curve)	0	3- 5+ 19- 71-	-2 3- 5+  3  5  4  0 19-
Curve Equation t 101175s1 [0,1,1,342,-3406] 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