Cremona's table of elliptic curves

42300 = 2² · 3² · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
42300a (2 curves)	0	2- 3+ 5+ 47+	2- 3+ 5+  0  4 -2  4  2
Curve Equation t 42300a1 [0,0,0,-16200,-543375] 2 42300a2 [0,0,0,-100575,11859750] 2
42300b (1 curve)	0	2- 3+ 5+ 47+	2- 3+ 5+ -3  1  4  4  4
Curve Equation t 42300b1 [0,0,0,-600,4500] 1
42300c (2 curves)	1	2- 3+ 5+ 47-	2- 3+ 5+  0 -4 -2 -4  2
Curve Equation t Generators 42300c1 [0,0,0,-1800,20125] 2 [-45:100:1] 42300c2 [0,0,0,-11175,-439250] 2 [2186:102084:1]
42300d (1 curve)	1	2- 3+ 5+ 47-	2- 3+ 5+ -3 -1  4 -4  4
Curve Equation t Generators 42300d1 [0,0,0,-5400,-121500] 1 [-36:162:1]
42300e (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5-  3 -2  5 -3  1
Curve Equation t Generators 42300e1 [0,0,0,-246375,-47081250] 1 [22050:1137375:8]
42300f (1 curve)	1	2- 3+ 5- 47+	2- 3+ 5- -3  2 -5 -3  1
Curve Equation t Generators 42300f1 [0,0,0,-1095,13950] 1 [15:30:1]
42300g (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5-  3  2  5  3  1
Curve Equation t 42300g1 [0,0,0,-27375,1743750] 1
42300h (1 curve)	0	2- 3+ 5- 47-	2- 3+ 5- -3 -2 -5  3  1
Curve Equation t 42300h1 [0,0,0,-9855,-376650] 1
42300i (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  0  0 -4  0  6
Curve Equation t Generators 42300i1 [0,0,0,-10200,394625] 2 [40:225:1] 42300i2 [0,0,0,-4575,827750] 2 [31:-846:1]
42300j (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  1  0  1 -3 -1
Curve Equation t Generators 42300j1 [0,0,0,1350825,-451503250] 1 [28915:4920750:1] 42300j2 [0,0,0,-13958175,27120005750] 1 [232130:39234375:8]
42300k (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  1  0 -1 -1 -7
Curve Equation t Generators 42300k1 [0,0,0,825,206750] 1 [115:1350:1]
42300l (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  1  0 -2  3  2
Curve Equation t Generators 42300l1 [0,0,0,-165,-835] 1 [29:137:1] 42300l2 [0,0,0,735,-3355] 1 [114172:796381:4913]
42300m (2 curves)	1	2- 3- 5+ 47+	2- 3- 5+  1  3  4  0  2
Curve Equation t Generators 42300m1 [0,0,0,-8400,-281500] 1 [-44:54:1] 42300m2 [0,0,0,-116400,15216500] 1 [181:279:1]
42300n (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1  1  5  2 -5
Curve Equation t Generators 42300n1 [0,0,0,-4575,-112250] 1 [-45:50:1]
42300o (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1  4 -1 -7  7
Curve Equation t Generators 42300o1 [0,0,0,-14035575,20239204750] 1 [2135:2250:1]
42300p (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -1 -4  3 -3 -5
Curve Equation t Generators 42300p1 [0,0,0,-49575,-4585250] 1 [335:4050:1]
42300q (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  2 -2  5  2 -2
Curve Equation t Generators 42300q1 [0,0,0,214800,-128841500] 1 [2220:106250:1]
42300r (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+ -2  0  5  8 -4
Curve Equation t Generators 42300r1 [0,0,0,4864200,219750500] 1 [3376:234774:1]
42300s (1 curve)	1	2- 3- 5+ 47+	2- 3- 5+  3 -5 -5 -2  1
Curve Equation t Generators 42300s1 [0,0,0,-23175,-1343250] 1 [-121330:144800:1331]
42300t (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+  1 -3  2 -6 -6
Curve Equation t 42300t1 [0,0,0,-49800,4268500] 1
42300u (2 curves)	0	2- 3- 5+ 47-	2- 3- 5+  1 -3  7 -6 -1
Curve Equation t 42300u1 [0,0,0,-1592175,-771858250] 1 42300u2 [0,0,0,-7091175,6568460750] 1
42300v (1 curve)	2	2- 3- 5+ 47-	2- 3- 5+ -2 -4 -1  0 -4
Curve Equation t Generators 42300v1 [0,0,0,-10200,398500] 1 [-115:225:1]&[20:-450:1]
42300w (1 curve)	0	2- 3- 5+ 47-	2- 3- 5+ -3 -4  1 -4 -1
Curve Equation t 42300w1 [0,0,0,-2280,-686540] 1
42300x (2 curves)	0	2- 3- 5- 47+	2- 3- 5-  0 -4  4  0  4
Curve Equation t 42300x1 [0,0,0,-33120,-2319975] 2 42300x2 [0,0,0,-32895,-2353050] 2
42300y (1 curve)	2	2- 3- 5- 47+	2- 3- 5-  0 -6 -1 -4 -4
Curve Equation t Generators 42300y1 [0,0,0,240,-700] 1 [4:18:1]&[5:25:1]
42300z (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  3  3 -5 -4  5
Curve Equation t 42300z1 [0,0,0,-15375,-706250] 1
42300ba (1 curve)	0	2- 3- 5- 47+	2- 3- 5-  3 -4 -1  4 -1
Curve Equation t 42300ba1 [0,0,0,-57000,-85817500] 1
42300bb (1 curve)	0	2- 3- 5- 47+	2- 3- 5- -4  0  3 -2  2
Curve Equation t 42300bb1 [0,0,0,-8040,-476300] 1
42300bc (2 curves)	1	2- 3- 5- 47-	2- 3- 5-  0 -4 -4  0  4
Curve Equation t Generators 42300bc1 [0,0,0,-828000,-289996875] 2 [51517444524:321323233239:48228544] 42300bc2 [0,0,0,-822375,-294131250] 2 [1027362:53263314:343]
42300bd (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  0 -6  1  4 -4
Curve Equation t Generators 42300bd1 [0,0,0,6000,-87500] 1 [29:333:1]
42300be (2 curves)	1	2- 3- 5- 47-	2- 3- 5- -1  0  2 -3  2
Curve Equation t Generators 42300be1 [0,0,0,-4125,-104375] 1 [356684240304:-3077905020931:3042321849] 42300be2 [0,0,0,18375,-419375] 3 [26175:822725:27]
42300bf (1 curve)	1	2- 3- 5- 47-	2- 3- 5- -3  3  5  4  5
Curve Equation t Generators 42300bf1 [0,0,0,-615,-5650] 1 [-110:115:8]
42300bg (1 curve)	1	2- 3- 5- 47-	2- 3- 5-  4  0 -3  2  2
Curve Equation t Generators 42300bg1 [0,0,0,-201000,-59537500] 1 [2525:124625:1]

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