Cremona's table of elliptic curves

50344 = 2³ · 7 · 29 · 31

Class	r	Atkin-Lehner	Eigenvalues
50344a (1 curve)	1	2+ 7+ 29- 31-	2+  2  3 7+ -5  4 -2  1
Curve Equation t Generators 50344a1 [0,-1,0,56,-84] 1 [29355:100746:6859]
50344b (1 curve)	2	2+ 7- 29+ 31+	2+ -2  1 7- -4  0  3 -7
Curve Equation t Generators 50344b1 [0,1,0,-120,352] 1 [-9:28:1]&[-4:28:1]
50344c (1 curve)	1	2+ 7- 29+ 31-	2+ -2  1 7-  1  4 -2 -1
Curve Equation t Generators 50344c1 [0,1,0,-302520,63969712] 1 [411:3038:1]
50344d (1 curve)	2	2+ 7- 29- 31-	2+ -1 -2 7-  0 -2 -6 -1
Curve Equation t Generators 50344d1 [0,-1,0,-2009,39133] 1 [213:3038:1]&[-39:238:1]
50344e (1 curve)	0	2- 7+ 29+ 31+	2-  1  2 7+ -4  6  2  1
Curve Equation t 50344e1 [0,1,0,223,-1933] 1
50344f (1 curve)	1	2- 7+ 29+ 31-	2-  0 -1 7+  5  2  0 -7
Curve Equation t Generators 50344f1 [0,0,0,-3323,171894] 1 [-70:248:1]
50344g (1 curve)	1	2- 7+ 29+ 31-	2- -1  0 7+  2  4  2  1
Curve Equation t Generators 50344g1 [0,-1,0,629047,170689405] 1 [260:18755:1]
50344h (1 curve)	1	2- 7+ 29+ 31-	2-  2  0 7+  5 -5  2  1
Curve Equation t Generators 50344h1 [0,-1,0,-33,53] 1 [11:30:1]
50344i (4 curves)	1	2- 7+ 29- 31+	2-  0  2 7+  4 -6  2  0
Curve Equation t Generators 50344i1 [0,0,0,-940799,354058882] 4 [251955:10191064:125] 50344i2 [0,0,0,-15086419,22554194910] 4 [6409967330:127611621489:2197000] 50344i3 [0,0,0,-15120059,22448558582] 2 [1585405893635382390:30990193400288713787:541542666951000] 50344i4 [0,0,0,-241382699,1443468537030] 2 [5967845878472790:6681276684376107:660776311000]
50344j (1 curve)	1	2- 7- 29+ 31+	2-  0  2 7-  3  3 -2 -1
Curve Equation t Generators 50344j1 [0,0,0,-13604,604532] 1 [76:98:1]
50344k (1 curve)	1	2- 7- 29- 31-	2- -2 -2 7-  1 -7  0 -1
Curve Equation t Generators 50344k1 [0,1,0,-149569,9464595] 1 [2093:94178:1]

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

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