Cremona's table of elliptic curves

36312 = 2³ · 3 · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
36312a (1 curve)	0	2+ 3+ 17+ 89-	2+ 3+  2 -1  3  4 17+ -6
Curve Equation t 36312a1 [0,-1,0,-297,-1875] 1
36312b (2 curves)	0	2+ 3- 17+ 89+	2+ 3-  2 -4  2  6 17+  6
Curve Equation t 36312b1 [0,1,0,-492,4032] 2 36312b2 [0,1,0,-312,7200] 2
36312c (1 curve)	0	2+ 3- 17+ 89+	2+ 3- -4  2  2  0 17+  0
Curve Equation t 36312c1 [0,1,0,-147865,28198379] 1
36312d (2 curves)	1	2+ 3- 17- 89+	2+ 3- -4  0  0 -4 17- -8
Curve Equation t Generators 36312d1 [0,1,0,-480,-4176] 2 [-13:6:1] 36312d2 [0,1,0,-120,-9936] 2 [59:438:1]
36312e (2 curves)	0	2- 3+ 17+ 89+	2- 3+  4 -2 -2  6 17+ -4
Curve Equation t 36312e1 [0,-1,0,-696,5148] 2 36312e2 [0,-1,0,-4256,-101652] 2
36312f (1 curve)	1	2- 3+ 17+ 89-	2- 3+  0 -2 -2  4 17+  0
Curve Equation t Generators 36312f1 [0,-1,0,-473,4173] 1 [7:34:1]
36312g (1 curve)	1	2- 3+ 17- 89+	2- 3+  2  3  3  2 17- -4
Curve Equation t Generators 36312g1 [0,-1,0,63,405] 1 [19:90:1]
36312h (4 curves)	0	2- 3+ 17- 89-	2- 3+  2  0  0  2 17-  4
Curve Equation t 36312h1 [0,-1,0,-612,5508] 2 36312h2 [0,-1,0,-2232,-34020] 4 36312h3 [0,-1,0,3888,-193140] 2 36312h4 [0,-1,0,-34272,-2430612] 2
36312i (2 curves)	1	2- 3- 17+ 89+	2- 3- -2 -4 -4 -6 17+  2
Curve Equation t Generators 36312i1 [0,1,0,-244,-1504] 2 [-10:6:1] 36312i2 [0,1,0,96,-5040] 2 [24:108:1]
36312j (4 curves)	1	2- 3- 17- 89-	2- 3-  2  4  0 -2 17- -4
Curve Equation t Generators 36312j1 [0,1,0,-14692,-100192] 4 [-118:66:1] 36312j2 [0,1,0,-173112,-27728640] 4 [166368:67858560:1] 36312j3 [0,1,0,-112592,-47337120] 2 [2541635888:7142978115:5451776] 36312j4 [0,1,0,-2768352,-1773806112] 2 [681456144:277943419215:4096]

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

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