Cremona's table of elliptic curves

3216 = 2⁴ · 3 · 67

Class	r	Atkin-Lehner	Eigenvalues
3216a (2 curves)	0	2+ 3+ 67-	2+ 3+ -2  2  4  4  6  4
Curve Equation t 3216a1 [0,-1,0,-64,-176] 2 3216a2 [0,-1,0,-24,-432] 2
3216b (1 curve)	0	2+ 3- 67+	2+ 3- -4  4  6 -4 -3  7
Curve Equation t 3216b1 [0,1,0,-25,-61] 1
3216c (1 curve)	0	2- 3+ 67+	2- 3+ -1  5  4 -4  6  2
Curve Equation t 3216c1 [0,-1,0,-16,-128] 1
3216d (3 curves)	0	2- 3+ 67+	2- 3+ -3  1  0 -4 -6 -2
Curve Equation t 3216d1 [0,-1,0,-2312,-44304] 1 3216d2 [0,-1,0,12808,-68496] 1 3216d3 [0,-1,0,-164072,28077936] 1
3216e (1 curve)	1	2- 3+ 67-	2- 3+ -1  3  2 -2 -4  4
Curve Equation t Generators 3216e1 [0,-1,0,84,-36] 1 [5:22:1]
3216f (4 curves)	1	2- 3+ 67-	2- 3+  2  0 -4 -2  2  4
Curve Equation t Generators 3216f1 [0,-1,0,-152,240] 2 [-6:30:1] 3216f2 [0,-1,0,-1432,-20240] 4 [844:24480:1] 3216f3 [0,-1,0,-22872,-1323792] 2 [106170:3039498:125] 3216f4 [0,-1,0,-472,-47888] 4 [22782:661130:27]
3216g (1 curve)	1	2- 3- 67+	2- 3-  0  0  2 -4 -3 -5
Curve Equation t Generators 3216g1 [0,1,0,-1373,19191] 1 [19:-18:1]
3216h (1 curve)	1	2- 3- 67+	2- 3- -3 -3  2  2  0  4
Curve Equation t Generators 3216h1 [0,1,0,-12,-24] 1 [11:36:1]
3216i (1 curve)	0	2- 3- 67-	2- 3-  0  0  6  4 -7  5
Curve Equation t 3216i1 [0,1,0,27,-45] 1
3216j (1 curve)	0	2- 3- 67-	2- 3-  1  3  0 -4  2  2
Curve Equation t 3216j1 [0,1,0,-40,692] 1
3216k (2 curves)	0	2- 3- 67-	2- 3-  2 -2  4  0  6 -4
Curve Equation t 3216k1 [0,1,0,-592,-5740] 2 3216k2 [0,1,0,-432,-8748] 2
3216l (1 curve)	0	2- 3- 67-	2- 3- -3  3  0  4  2  2
Curve Equation t 3216l1 [0,1,0,-12712,-555916] 1
3216m (2 curves)	0	2- 3- 67-	2- 3-  4  0  0  2  2 -4
Curve Equation t 3216m1 [0,1,0,59,122] 2 3216m2 [0,1,0,-276,792] 2

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

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