Cremona's table of elliptic curves

113230 = 2 · 5 · 13² · 67

Class	r	Atkin-Lehner	Eigenvalues
113230a (2 curves)	1	2+ 5+ 13+ 67+	2+  0 5+ -4 -4 13+ -6 -2
Curve Equation t Generators 113230a1 [1,-1,0,374050,-55096300] 2 [205:5390:1] 113230a2 [1,-1,0,-1789150,-477785580] 2 [-497:17233:1]
113230b (2 curves)	1	2+ 5+ 13+ 67+	2+ -2 5+  1  3 13+  0  7
Curve Equation t Generators 113230b1 [1,0,1,-2385439,2806673586] 1 [1428086:50536571:1331] 113230b2 [1,0,1,20463361,-57870599694] 1 [13195068098135449970642:-1299384029462476102608743:1661955895295293697]
113230c (1 curve)	0	2+ 5+ 13+ 67-	2+  0 5+ -3 -3 13+  2  2
Curve Equation t 113230c1 [1,-1,0,-286288005470,-58959796383909004] 1
113230d (1 curve)	2	2+ 5+ 13+ 67-	2+  0 5+ -3  6 13+  2 -7
Curve Equation t Generators 113230d1 [1,-1,0,-99995,12159785] 1 [166:255:1]&[556:11045:1]
113230e (2 curves)	0	2+ 5+ 13+ 67-	2+  2 5+  0 -2 13+ -2 -4
Curve Equation t 113230e1 [1,1,0,-27616366898,-1766447596041292] 2 113230e2 [1,1,0,-27623613618,-1765474171681228] 2
113230f (1 curve)	2	2+ 5+ 13+ 67-	2+  2 5+  1 -5 13+ -4 -5
Curve Equation t Generators 113230f1 [1,1,0,-330853,-73461747] 1 [8094:196551:8]&[87837:25988229:1]
113230g (1 curve)	2	2+ 5+ 13+ 67-	2+  2 5+ -5 -2 13+  8  1
Curve Equation t Generators 113230g1 [1,1,0,-8453,295313] 1 [31:238:1]&[58:37:1]
113230h (1 curve)	2	2+ 5+ 13+ 67-	2+ -2 5+ -3 -5 13+ -4 -1
Curve Equation t Generators 113230h1 [1,0,1,-4,132] 1 [-2:12:1]&[10:28:1]
113230i (2 curves)	0	2+ 5+ 13- 67+	2+  0 5+  4 -2 13-  2  4
Curve Equation t 113230i1 [1,-1,0,-12704015,16771730925] 2 113230i2 [1,-1,0,-201118735,1097857711341] 2
113230j (1 curve)	0	2+ 5- 13+ 67+	2+  0 5-  5  3 13+ -6  2
Curve Equation t 113230j1 [1,-1,0,-2144,40288] 1
113230k (1 curve)	0	2+ 5- 13+ 67+	2+ -2 5- -1  3 13+  4  2
Curve Equation t 113230k1 [1,0,1,7432,-1378362] 1
113230l (2 curves)	0	2+ 5- 13+ 67+	2+ -2 5-  4 -2 13+ -6  2
Curve Equation t 113230l1 [1,0,1,-5524783,4276811346] 2 113230l2 [1,0,1,9648037,23631260538] 2
113230m (1 curve)	0	2- 5+ 13+ 67+	2-  0 5+ -1  2 13+  6  1
Curve Equation t 113230m1 [1,-1,1,-6167518,5896919981] 1
113230n (1 curve)	0	2- 5+ 13+ 67+	2-  0 5+ -1  5 13+ -6 -2
Curve Equation t 113230n1 [1,-1,1,-88588,-19862969] 1
113230o (1 curve)	0	2- 5+ 13+ 67+	2- -2 5+  1  2 13+  0 -7
Curve Equation t 113230o1 [1,0,0,-1382068061,-4247205953615] 1
113230p (2 curves)	0	2- 5+ 13+ 67+	2- -2 5+  1 -3 13+  0 -2
Curve Equation t 113230p1 [1,0,0,419,13311] 1 113230p2 [1,0,0,-3806,-377924] 1
113230q (3 curves)	0	2- 5+ 13+ 67+	2- -2 5+  1  6 13+  0  7
Curve Equation t 113230q1 [1,0,0,-258151,49704381] 1 113230q2 [1,0,0,-2265026,-1289557244] 1 113230q3 [1,0,0,-182583801,-949616906759] 1
113230r (4 curves)	1	2- 5- 13+ 67+	2-  0 5-  0 -4 13+  2 -4
Curve Equation t Generators 113230r1 [1,-1,1,-12850792,-27059332309] 4 [4374549:241652321:729] 113230r2 [1,-1,1,-234362472,-1380584301781] 4 [24177:2649661:1] 113230r3 [1,-1,1,-263349352,-1017483048149] 2 [28051:3682849:1] 113230r4 [1,-1,1,-3749562472,-88371941741781] 2 [132337:41563601:1]
113230s (1 curve)	1	2- 5- 13+ 67+	2-  0 5-  3  2 13+  2  5
Curve Equation t Generators 113230s1 [1,-1,1,-5947,168939] 1 [-81:378:1]
113230t (1 curve)	1	2- 5- 13+ 67+	2-  2 5- -1  5 13+ -4  5
Curve Equation t Generators 113230t1 [1,1,1,-55914245,-161115887093] 1 [22547:3157476:1]
113230u (1 curve)	1	2- 5- 13+ 67+	2- -2 5-  3  5 13+ -4  1
Curve Equation t Generators 113230u1 [1,0,0,-595,291147] 1 [1126:13295:8]
113230v (1 curve)	0	2- 5- 13+ 67-	2-  0 5- -1  3 13+  2  6
Curve Equation t 113230v1 [1,-1,1,-7527292,-7969007809] 1
113230w (2 curves)	0	2- 5- 13+ 67-	2-  0 5- -4  0 13+  2 -6
Curve Equation t 113230w1 [1,-1,1,-11017,900709] 2 113230w2 [1,-1,1,-222267,40362209] 2
113230x (2 curves)	0	2- 5- 13+ 67-	2-  2 5-  0  2 13+ -2 -8
Curve Equation t 113230x1 [1,1,1,-13270,136495] 2 113230x2 [1,1,1,-126500,-17255633] 2
113230y (2 curves)	2	2- 5- 13+ 67-	2- -2 5- -1 -3 13+  0 -7
Curve Equation t Generators 113230y1 [1,0,0,-14115,1276417] 3 [-146:553:1]&[92:825:1] 113230y2 [1,0,0,121085,-26331423] 1 [192:1905:1]&[248:4231:1]
113230z (2 curves)	1	2- 5- 13- 67-	2-  0 5- -4  2 13-  2 -4
Curve Equation t Generators 113230z1 [1,-1,1,-75172,7651271] 2 [101:989:1] 113230z2 [1,-1,1,-1190052,499982279] 2 [637:-19:1]

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

Part of Computational Number Theory
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