Cremona's table of elliptic curves

20618 = 2 · 13² · 61

Class	r	Atkin-Lehner	Eigenvalues
20618a (2 curves)	1	2+ 13+ 61+	2+  0 -2 -4 -4 13+ -6 -6
Curve Equation t Generators 20618a1 [1,-1,0,-10374688,12864574464] 2 [335:96923:1] 20618a2 [1,-1,0,-10158368,13426530560] 2 [1232:52112:1]
20618b (1 curve)	1	2+ 13+ 61+	2+ -1  3 -2  2 13+ -8  5
Curve Equation t Generators 20618b1 [1,1,0,-10481,-415163] 1 [-57:62:1]
20618c (1 curve)	1	2+ 13+ 61+	2+ -3  1  4  4 13+  0 -1
Curve Equation t Generators 20618c1 [1,-1,0,-53689,4789357] 1 [127:21:1]
20618d (2 curves)	0	2+ 13+ 61-	2+  1  3 -2 -6 13+ -6  1
Curve Equation t 20618d1 [1,0,1,-43437,3297192] 1 20618d2 [1,0,1,-614657,-184748432] 1
20618e (2 curves)	0	2+ 13+ 61-	2+ -1 -1 -3 -2 13+  3  0
Curve Equation t 20618e1 [1,1,0,2704842,22695531604] 1 20618e2 [1,1,0,-590309398,-5813167446796] 1
20618f (1 curve)	0	2+ 13+ 61-	2+  3  1  4  0 13+ -2 -5
Curve Equation t 20618f1 [1,-1,0,-4549,119237] 1
20618g (1 curve)	2	2- 13+ 61+	2- -1 -3 -1 -2 13+ -5  4
Curve Equation t Generators 20618g1 [1,1,1,-18847,1440837] 1 [-21:1362:1]&[27:962:1]
20618h (1 curve)	2	2- 13+ 61+	2- -1 -3  2 -2 13+ -8 -5
Curve Equation t Generators 20618h1 [1,1,1,-62,-213] 1 [-5:3:1]&[19:67:1]
20618i (1 curve)	0	2- 13+ 61+	2- -2 -1  5  3 13+  0  0
Curve Equation t 20618i1 [1,0,0,419,129] 1
20618j (1 curve)	2	2- 13+ 61+	2- -3 -1 -4 -4 13+  0  1
Curve Equation t Generators 20618j1 [1,-1,1,-318,2253] 1 [33:-181:1]&[1:43:1]
20618k (2 curves)	1	2- 13+ 61-	2-  1 -3  2  6 13+ -6 -1
Curve Equation t Generators 20618k1 [1,0,0,-257,1481] 3 [26:99:1] 20618k2 [1,0,0,-3637,-84371] 1 [222:3061:1]
20618l (1 curve)	1	2- 13+ 61-	2-  3 -1 -4  0 13+ -2  5
Curve Equation t Generators 20618l1 [1,-1,1,-768813,259657285] 1 [13683:-6548:27]
20618m (1 curve)	1	2- 13+ 61-	2-  3 -3  3 -2 13+ -5 -8
Curve Equation t Generators 20618m1 [1,-1,1,10446,114859] 1 [5514:133349:216]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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