Cremona's table of elliptic curves

31328 = 2⁵ · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
31328a (1 curve)	1	2+ 11+ 89+	2+  0  3 -4 11+  1  2 -4
Curve Equation t Generators 31328a1 [0,0,0,-56,1072] 1 [-12:4:1]
31328b (2 curves)	0	2+ 11+ 89-	2+  2  2 -2 11+ -6  2 -4
Curve Equation t 31328b1 [0,-1,0,-22,0] 2 31328b2 [0,-1,0,88,-88] 2
31328c (2 curves)	0	2+ 11+ 89-	2+ -2  2  4 11+  0 -6 -8
Curve Equation t 31328c1 [0,1,0,-122,-560] 2 31328c2 [0,1,0,-177,-65] 2
31328d (1 curve)	0	2+ 11- 89+	2+  0  3  4 11-  1  2  4
Curve Equation t 31328d1 [0,0,0,-56,-1072] 1
31328e (1 curve)	1	2+ 11- 89-	2+  1  3  0 11-  4  3  1
Curve Equation t Generators 31328e1 [0,1,0,-1089,-14641] 1 [55:308:1]
31328f (2 curves)	1	2+ 11- 89-	2+ -2  2  2 11- -6  2  4
Curve Equation t Generators 31328f1 [0,1,0,-22,0] 2 [8:20:1] 31328f2 [0,1,0,88,88] 2 [42:215:8]
31328g (1 curve)	1	2- 11+ 89-	2- -1  3  0 11+  4  3 -1
Curve Equation t Generators 31328g1 [0,-1,0,-1089,14641] 1 [0:121:1]
31328h (2 curves)	0	2- 11- 89-	2-  2  2 -4 11-  0 -6  8
Curve Equation t 31328h1 [0,-1,0,-122,560] 2 31328h2 [0,-1,0,-177,65] 2

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

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