Cremona's table of elliptic curves

36112 = 2⁴ · 37 · 61

Class	r	Atkin-Lehner	Eigenvalues
36112a (1 curve)	2	2+ 37- 61+	2+ -2  0  0 -3 -2 -1 -7
Curve Equation t Generators 36112a1 [0,1,0,32,36] 1 [-1:2:1]&[0:6:1]
36112b (1 curve)	1	2+ 37- 61-	2+  1  0  5  1 -4 -2  0
Curve Equation t Generators 36112b1 [0,1,0,-8913,-326869] 1 [-1633886:10477:29791]
36112c (1 curve)	1	2+ 37- 61-	2+ -2 -3 -1 -5  5  4  6
Curve Equation t Generators 36112c1 [0,1,0,88,-284] 1 [16:74:1]
36112d (1 curve)	1	2- 37+ 61-	2-  0  0  0 -5 -2  1  1
Curve Equation t Generators 36112d1 [0,0,0,-58535,-5450942] 1 [102152985658956888:-1841721363150612959:215913611519488]
36112e (1 curve)	1	2- 37+ 61-	2-  0  1  1  3  5 -2 -2
Curve Equation t Generators 36112e1 [0,0,0,-1247,18842] 1 [2630:5476:125]
36112f (1 curve)	1	2- 37+ 61-	2-  0 -2  4 -3 -4 -5  1
Curve Equation t Generators 36112f1 [0,0,0,-371,-2766] 1 [50:322:1]
36112g (1 curve)	1	2- 37+ 61-	2-  2  1 -1  3  1  0  2
Curve Equation t Generators 36112g1 [0,-1,0,-4720,-123456] 1 [348990:2346614:3375]
36112h (1 curve)	1	2- 37- 61+	2- -1 -4  3  3 -4 -2  4
Curve Equation t Generators 36112h1 [0,-1,0,-245,1021] 1 [20:61:1]
36112i (1 curve)	1	2- 37- 61+	2-  2 -4  0  3  2 -5 -5
Curve Equation t Generators 36112i1 [0,-1,0,-165960,-26016784] 1 [2429:117882:1]
36112j (1 curve)	1	2- 37- 61+	2- -2  2  0  1  0 -3  7
Curve Equation t Generators 36112j1 [0,1,0,148,-2072] 1 [2308:14519:64]
36112k (2 curves)	0	2- 37- 61-	2-  2 -3 -5  3  5  0 -2
Curve Equation t 36112k1 [0,-1,0,-7378912,7919841024] 1 36112k2 [0,-1,0,-602036192,5685875453696] 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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