Cremona's table of elliptic curves

3408 = 2⁴ · 3 · 71

Class	r	Atkin-Lehner	Eigenvalues
3408a (4 curves)	0	2+ 3+ 71-	2+ 3+ -2  0  0 -6  2 -4
Curve Equation t 3408a1 [0,-1,0,-84,-576] 2 3408a2 [0,-1,0,-1704,-26496] 4 3408a3 [0,-1,0,-27264,-1723680] 2 3408a4 [0,-1,0,-2064,-14112] 4
3408b (1 curve)	0	2+ 3+ 71-	2+ 3+  3 -1  3 -2  6 -1
Curve Equation t 3408b1 [0,-1,0,-24,-48] 1
3408c (2 curves)	0	2+ 3- 71+	2+ 3-  2 -2  4  2  4  0
Curve Equation t 3408c1 [0,1,0,-12,-180] 2 3408c2 [0,1,0,-552,-5148] 2
3408d (2 curves)	1	2+ 3- 71-	2+ 3- -2  2 -2  4 -4 -4
Curve Equation t Generators 3408d1 [0,1,0,16,36] 2 [0:6:1] 3408d2 [0,1,0,-104,276] 2 [12:30:1]
3408e (2 curves)	0	2- 3+ 71+	2- 3+  1 -3  3 -6 -2 -5
Curve Equation t 3408e1 [0,-1,0,-320,-3072] 1 3408e2 [0,-1,0,-3680,332928] 1
3408f (2 curves)	1	2- 3+ 71-	2- 3+  2 -2  0 -2  0  0
Curve Equation t Generators 3408f1 [0,-1,0,8,-80] 2 [10:30:1] 3408f2 [0,-1,0,-232,-1232] 2 [18:10:1]
3408g (2 curves)	1	2- 3+ 71-	2- 3+  3  1 -3  2 -6 -5
Curve Equation t Generators 3408g1 [0,-1,0,-368104,-85867664] 1 [1417860:59007104:729] 3408g2 [0,-1,0,234536,-329878544] 1 [462180:60489728:27]
3408h (2 curves)	0	2- 3- 71-	2- 3- -2 -2  2  0  0  4
Curve Equation t 3408h1 [0,1,0,-4584,-123084] 2 3408h2 [0,1,0,-73704,-7726284] 2

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

Part of Computational Number Theory
Back to Tables and computations