Cremona's table of elliptic curves

19312 = 2⁴ · 17 · 71

Class	r	Atkin-Lehner	Eigenvalues
19312a (1 curve)	1	2+ 17+ 71+	2+ -2  0  0  3  4 17+  1
Curve Equation t Generators 19312a1 [0,1,0,-2488,57639] 1 [-15:303:1]
19312b (1 curve)	0	2+ 17- 71+	2+  1  2 -1 -6 -5 17-  7
Curve Equation t 19312b1 [0,1,0,-293352,-55102828] 1
19312c (1 curve)	2	2+ 17- 71+	2+ -1  0 -3  2 -5 17- -5
Curve Equation t Generators 19312c1 [0,-1,0,-208,1184] 1 [-14:34:1]&[-4:44:1]
19312d (2 curves)	0	2- 17+ 71+	2- -1  0  1  6 -1 17+ -5
Curve Equation t 19312d1 [0,-1,0,-16608,425728] 1 19312d2 [0,-1,0,-1152608,476673280] 1
19312e (1 curve)	1	2- 17+ 71-	2-  1 -1 -1  4  5 17+  0
Curve Equation t Generators 19312e1 [0,1,0,-16,148] 1 [-6:8:1]
19312f (1 curve)	1	2- 17+ 71-	2-  1 -2 -3 -2  1 17+  7
Curve Equation t Generators 19312f1 [0,1,0,-17144,-540460] 1 [-58:512:1]
19312g (2 curves)	1	2- 17+ 71-	2- -1 -3 -5  0 -1 17+ -8
Curve Equation t Generators 19312g1 [0,-1,0,-2592,-53504] 1 [112:1024:1] 19312g2 [0,-1,0,15328,-10496] 1 [144:-2272:1]
19312h (2 curves)	1	2- 17+ 71-	2- -2  0  0  0 -4 17+  0
Curve Equation t Generators 19312h1 [0,1,0,232,3220] 2 [-9:22:1] 19312h2 [0,1,0,-2328,37012] 2 [-52:142:1]
19312i (1 curve)	1	2- 17+ 71-	2- -2  4  0  1  4 17+  7
Curve Equation t Generators 19312i1 [0,1,0,-6,7] 1 [3:5:1]
19312j (4 curves)	1	2- 17- 71+	2-  0  2  0  0 -2 17- -4
Curve Equation t Generators 19312j1 [0,0,0,-8255819,-9130369542] 2 [-1513938073:1120402:912673] 19312j2 [0,0,0,-8260939,-9118477830] 4 [91196535426361:-819070692222930:27189441343] 19312j3 [0,0,0,-11487179,-1336141702] 4 [-9597691403:-774959950480:7189057] 19312j4 [0,0,0,-5116619,-16139744390] 2 [2878341556837397107139042671985:-2389300620246140337286916463640578:4177155962549648302418375]
19312k (1 curve)	1	2- 17- 71+	2- -3 -1 -3  0 -5 17- -4
Curve Equation t Generators 19312k1 [0,0,0,-3883,93274] 1 [5:272:1]

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

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