Cremona's table of elliptic curves

36848 = 2⁴ · 7² · 47

Class	r	Atkin-Lehner	Eigenvalues
36848a (2 curves)	2	2+ 7- 47+	2+  0  0 7- -2 -4 -6  2
Curve Equation t Generators 36848a1 [0,0,0,-5635,240786] 2 [-63:588:1]&[35:294:1] 36848a2 [0,0,0,-101675,12476282] 2 [-241:4794:1]&[7:3430:1]
36848b (2 curves)	0	2+ 7- 47+	2+  0 -2 7-  2 -2  0  4
Curve Equation t 36848b1 [0,0,0,-5831,168070] 2 36848b2 [0,0,0,-12691,-302526] 2
36848c (1 curve)	0	2+ 7- 47+	2+  1 -1 7- -1  2  8  2
Curve Equation t 36848c1 [0,1,0,-47056,3941188] 1
36848d (2 curves)	0	2+ 7- 47+	2+  2 -2 7-  6  6  2  0
Curve Equation t 36848d1 [0,-1,0,-5504,-155056] 2 36848d2 [0,-1,0,-7464,-32752] 2
36848e (2 curves)	1	2+ 7- 47-	2+  0  2 7-  2  2  0 -4
Curve Equation t Generators 36848e1 [0,0,0,-119,-490] 2 [1155:7280:27] 36848e2 [0,0,0,-259,882] 2 [-14:42:1]
36848f (1 curve)	1	2+ 7- 47-	2+ -1 -1 7- -3 -6  4 -6
Curve Equation t Generators 36848f1 [0,-1,0,-16,9584] 1 [-2:98:1]
36848g (1 curve)	1	2- 7+ 47-	2-  0  2 7+ -4  0  7  0
Curve Equation t Generators 36848g1 [0,0,0,-49,147] 1 [-6:15:1]
36848h (2 curves)	1	2- 7+ 47-	2-  2 -3 7+ -3 -1 -3  4
Curve Equation t Generators 36848h1 [0,-1,0,4688,-74304] 1 [216:3312:1] 36848h2 [0,-1,0,-50192,5501504] 1 [112:1128:1]
36848i (2 curves)	1	2- 7- 47+	2-  0  0 7- -2  4  2 -2
Curve Equation t Generators 36848i1 [0,0,0,245,-14406] 2 [53:384:1] 36848i2 [0,0,0,-7595,-244902] 2 [-49:98:1]
36848j (1 curve)	1	2- 7- 47+	2-  0 -2 7- -4  0 -7  0
Curve Equation t Generators 36848j1 [0,0,0,-2401,-50421] 1 [157102:1523745:1331]
36848k (2 curves)	1	2- 7- 47+	2-  0  4 7-  2  0  2 -6
Curve Equation t Generators 36848k1 [0,0,0,1307957,443262330] 2 [1365905427635:-90188825886720:2465846551] 36848k2 [0,0,0,-6720203,3983680890] 2 [874930:68449766:125]
36848l (2 curves)	1	2- 7- 47+	2-  0 -4 7-  0 -4  0 -8
Curve Equation t Generators 36848l1 [0,0,0,-215747,238491330] 2 [-49:15778:1] 36848l2 [0,0,0,-7240387,7466845890] 2 [1999:31326:1]
36848m (2 curves)	1	2- 7- 47+	2-  1 -3 7- -3 -2  0  2
Curve Equation t Generators 36848m1 [0,1,0,2728,263444] 1 [44:686:1] 36848m2 [0,1,0,-24712,-7364876] 1 [21180:576926:27]
36848n (2 curves)	1	2- 7- 47+	2- -2  2 7-  4  2 -4 -4
Curve Equation t Generators 36848n1 [0,1,0,-9032,-195980] 2 [-57:370:1] 36848n2 [0,1,0,-63912,6060340] 2 [-180:3430:1]
36848o (2 curves)	1	2- 7- 47+	2- -2  3 7- -3  1  3 -4
Curve Equation t Generators 36848o1 [0,1,0,96,244] 1 [10:48:1] 36848o2 [0,1,0,-1024,-16332] 1 [66:456:1]
36848p (1 curve)	1	2- 7- 47+	2- -3  1 7- -1  6  2  0
Curve Equation t Generators 36848p1 [0,0,0,-13867,633178] 1 [63:-98:1]
36848q (1 curve)	1	2- 7- 47+	2- -3 -1 7- -3  2  6  4
Curve Equation t Generators 36848q1 [0,0,0,-343,-33614] 1 [1470:8918:27]
36848r (2 curves)	0	2- 7- 47-	2-  0  4 7-  0  4  0  8
Curve Equation t 36848r1 [0,0,0,-4403,-695310] 2 36848r2 [0,0,0,-147763,-21769230] 2
36848s (1 curve)	0	2- 7- 47-	2- -1  1 7- -1 -2  0 -2
Curve Equation t 36848s1 [0,-1,0,-91734680,400937703664] 1
36848t (1 curve)	0	2- 7- 47-	2- -1  1 7-  5 -2  6  4
Curve Equation t 36848t1 [0,-1,0,18800,-726592] 1
36848u (1 curve)	0	2- 7- 47-	2- -1 -3 7- -3  6 -6  8
Curve Equation t 36848u1 [0,-1,0,192848,-32516224] 1
36848v (2 curves)	0	2- 7- 47-	2-  2 -2 7-  2 -2 -6  4
Curve Equation t 36848v1 [0,-1,0,-7464,197744] 2 36848v2 [0,-1,0,-38824,-2762640] 2
36848w (2 curves)	0	2- 7- 47-	2-  2 -2 7-  4 -2  4  4
Curve Equation t 36848w1 [0,-1,0,-184,624] 2 36848w2 [0,-1,0,-1304,-17296] 2
36848x (1 curve)	0	2- 7- 47-	2-  3  1 7- -3 -2 -6 -4
Curve Equation t 36848x1 [0,0,0,-7,98] 1

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