Cremona's table of elliptic curves

70380 = 2² · 3² · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
70380a (1 curve)	0	2- 3+ 5+ 17+ 23+	2- 3+ 5+ -1  1 -4 17+ -1
Curve Equation t 70380a1 [0,0,0,5498307,-6288835383] 1
70380b (1 curve)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+  1  4 -7 17+ -2
Curve Equation t Generators 70380b1 [0,0,0,-2808,-56268] 1 [-222:135:8]
70380c (1 curve)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+ -5  1 -4 17+ -5
Curve Equation t Generators 70380c1 [0,0,0,261387,200329713] 1 [-192:11961:1]
70380d (1 curve)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+ -1  4 -5 17- -8
Curve Equation t Generators 70380d1 [0,0,0,-19968,-292108] 1 [-59:825:1]
70380e (4 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  2  0  2 17-  2
Curve Equation t Generators 70380e1 [0,0,0,-24588,1479313] 6 [-178:465:1] 70380e2 [0,0,0,-393063,94850878] 6 [24387:3807110:1] 70380e3 [0,0,0,-128628,-16590123] 2 [-721316739:1052686530:2924207] 70380e4 [0,0,0,-415503,83414502] 2 [5283451058603718:-824798820785992235:216648648216]
70380f (2 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  2 -4  6 17-  6
Curve Equation t Generators 70380f1 [0,0,0,-174528,18015777] 2 [-108:5967:1] 70380f2 [0,0,0,-1149903,-461283498] 2 [-533:442:1]
70380g (2 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  5  0  5 17-  2
Curve Equation t Generators 70380g1 [0,0,0,-211848,17819428] 3 [-364:6834:1] 70380g2 [0,0,0,-8465688,-9480149388] 1 [-4587618:1383885:2744]
70380h (1 curve)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+  1  5  4 17- -1
Curve Equation t 70380h1 [0,0,0,567,-2403] 1
70380i (2 curves)	2	2- 3+ 5+ 17- 23-	2- 3+ 5+ -2  0 -6 17-  2
Curve Equation t Generators 70380i1 [0,0,0,-108,-143] 2 [-9:10:1]&[-6:17:1] 70380i2 [0,0,0,-1383,-19778] 2 [-21:2:1]&[99:902:1]
70380j (1 curve)	1	2- 3+ 5- 17+ 23+	2- 3+ 5-  1 -5  4 17+ -1
Curve Equation t Generators 70380j1 [0,0,0,63,89] 1 [5:-23:1]
70380k (2 curves)	1	2- 3+ 5- 17+ 23+	2- 3+ 5- -2  0 -6 17+  2
Curve Equation t Generators 70380k1 [0,0,0,-972,3861] 2 [75:594:1] 70380k2 [0,0,0,-12447,534006] 2 [770:3817:8]
70380l (1 curve)	2	2- 3+ 5- 17+ 23-	2- 3+ 5- -1 -4 -5 17+ -8
Curve Equation t Generators 70380l1 [0,0,0,-179712,7886916] 1 [-48:-4050:1]&[-83:4715:1]
70380m (4 curves)	0	2- 3+ 5- 17+ 23-	2- 3+ 5-  2  0  2 17+  2
Curve Equation t 70380m1 [0,0,0,-14292,614449] 6 70380m2 [0,0,0,-46167,-3089426] 6 70380m3 [0,0,0,-221292,-39941451] 2 70380m4 [0,0,0,-3537567,-2560973706] 2
70380n (2 curves)	0	2- 3+ 5- 17+ 23-	2- 3+ 5-  2  4  6 17+  6
Curve Equation t 70380n1 [0,0,0,-19392,-667251] 2 70380n2 [0,0,0,-127767,17084574] 2
70380o (2 curves)	0	2- 3+ 5- 17+ 23-	2- 3+ 5-  5  0  5 17+  2
Curve Equation t 70380o1 [0,0,0,-940632,351116644] 3 70380o2 [0,0,0,-1906632,-481124556] 1
70380p (1 curve)	2	2- 3+ 5- 17- 23+	2- 3+ 5-  1 -4 -7 17- -2
Curve Equation t Generators 70380p1 [0,0,0,-312,2084] 1 [13:15:1]&[4:30:1]
70380q (1 curve)	2	2- 3+ 5- 17- 23+	2- 3+ 5- -5 -1 -4 17- -5
Curve Equation t Generators 70380q1 [0,0,0,29043,-7419619] 1 [337:6375:1]&[212:2875:1]
70380r (1 curve)	1	2- 3+ 5- 17- 23-	2- 3+ 5- -1 -1 -4 17- -1
Curve Equation t Generators 70380r1 [0,0,0,610923,232919829] 1 [-252:7935:1]
70380s (2 curves)	1	2- 3- 5+ 17+ 23+	2- 3- 5+  0 -2 -2 17+  4
Curve Equation t Generators 70380s1 [0,0,0,-6168,185717] 2 [7:378:1] 70380s2 [0,0,0,-3063,372638] 2 [194:4473:8]
70380t (2 curves)	1	2- 3- 5+ 17+ 23+	2- 3- 5+ -2 -4 -2 17+  4
Curve Equation t Generators 70380t1 [0,0,0,1032,1033] 2 [14:-135:1] 70380t2 [0,0,0,-4143,8278] 2 [-49:306:1]
70380u (2 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  0  2 -2 17+  4
Curve Equation t 70380u1 [0,0,0,-56928,2571793] 2 70380u2 [0,0,0,194577,19120822] 2
70380v (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  2 -3 -2 17+  8
Curve Equation t 70380v1 [0,0,0,-48,-263] 1
70380w (2 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -2  4 -2 17+ -4
Curve Equation t 70380w1 [0,0,0,193562592,-1276596114307] 2 70380w2 [0,0,0,-1254614583,-12749924600962] 2
70380x (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  5  1  6 17+ -5
Curve Equation t 70380x1 [0,0,0,-39333,-3002947] 1
70380y (2 curves)	2	2- 3- 5+ 17- 23+	2- 3- 5+ -4  0  2 17- -2
Curve Equation t Generators 70380y1 [0,0,0,-146568,21531917] 2 [-401:3978:1]&[1586:4131:8] 70380y2 [0,0,0,-81543,40740302] 2 [-146:7038:1]&[682:17388:1]
70380z (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+ -4  4 -5 17- -2
Curve Equation t 70380z1 [0,0,0,-4953,-296827] 1
70380ba (2 curves)	1	2- 3- 5+ 17- 23-	2- 3- 5+  0 -4  2 17-  2
Curve Equation t Generators 70380ba1 [0,0,0,-521311908,-4581361650607] 2 [213694:98195625:1] 70380ba2 [0,0,0,-520833783,-4590184682482] 2 [34711:4376394:1]
70380bb (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  1  1  4 17-  5
Curve Equation t Generators 70380bb1 [0,0,0,-264513,76641437] 1 [-428:10557:1]
70380bc (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  2 -2 -3 17-  4
Curve Equation t Generators 70380bc1 [0,0,0,-453,4273] 1 [24:85:1]
70380bd (2 curves)	1	2- 3- 5+ 17- 23-	2- 3- 5+  2  3  2 17- -4
Curve Equation t Generators 70380bd1 [0,0,0,-1128,-14627] 1 [5439243645:19169145044:121287375] 70380bd2 [0,0,0,2472,-76367] 3 [8886:162863:27]
70380be (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+ -2  5 -7 17- -5
Curve Equation t Generators 70380be1 [0,0,0,-1027474383,12676653448918] 1 [40657643:-281250:2197]
70380bf (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  3  2 -1 17-  2
Curve Equation t Generators 70380bf1 [0,0,0,-7248,231428] 1 [4:450:1]
70380bg (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  3  5 -2 17- -5
Curve Equation t Generators 70380bg1 [0,0,0,-993,-34607] 1 [233:3519:1]
70380bh (2 curves)	1	2- 3- 5+ 17- 23-	2- 3- 5+ -4  2  2 17-  8
Curve Equation t Generators 70380bh1 [0,0,0,-4788,14337] 2 [-66:207:1] 70380bh2 [0,0,0,19017,114318] 2 [3:414:1]
70380bi (1 curve)	0	2- 3- 5- 17+ 23+	2- 3- 5-  1 -2  1 17+  8
Curve Equation t 70380bi1 [0,0,0,-2298072,1338300164] 1
70380bj (1 curve)	0	2- 3- 5- 17+ 23+	2- 3- 5-  2 -5  6 17+  0
Curve Equation t 70380bj1 [0,0,0,14328,-23139] 1
70380bk (1 curve)	1	2- 3- 5- 17+ 23-	2- 3- 5- -2 -3  1 17+ -1
Curve Equation t Generators 70380bk1 [0,0,0,-176727,-28725154] 1 [682:12960:1]
70380bl (2 curves)	1	2- 3- 5- 17- 23+	2- 3- 5-  2 -4  6 17-  4
Curve Equation t Generators 70380bl1 [0,0,0,-8472,-318539] 2 [167:1710:1] 70380bl2 [0,0,0,-137847,-19698914] 2 [4786:84645:8]
70380bm (1 curve)	1	2- 3- 5- 17- 23+	2- 3- 5- -2 -1  5 17-  1
Curve Equation t Generators 70380bm1 [0,0,0,11553,1246214] 1 [343:6750:1]

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