Cremona's table of elliptic curves

28014 = 2 · 3 · 7 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
28014a (1 curve)	1	2+ 3+ 7- 23- 29+	2+ 3+  1 7- -3 -1  0  4
Curve Equation t Generators 28014a1 [1,1,0,938,-10028] 1 [12:50:1]
28014b (1 curve)	1	2+ 3+ 7- 23- 29+	2+ 3+ -1 7- -1 -1 -4  4
Curve Equation t Generators 28014b1 [1,1,0,-432078,-4144818636] 1 [2060:59898:1]
28014c (2 curves)	1	2+ 3+ 7- 23- 29+	2+ 3+  2 7- -4 -4  2  4
Curve Equation t Generators 28014c1 [1,1,0,-8707849,9857840965] 2 [1810:4615:1] 28014c2 [1,1,0,-12610089,140482917] 2 [26199:-4214682:1]
28014d (2 curves)	1	2+ 3+ 7- 23- 29+	2+ 3+ -2 7-  2  2  4  6
Curve Equation t Generators 28014d1 [1,1,0,-1981,110701] 2 [19:-293:1] 28014d2 [1,1,0,-48961,4141585] 2 [163:-806:1]
28014e (2 curves)	1	2+ 3+ 7- 23- 29+	2+ 3+ -2 7-  4  4 -2 -4
Curve Equation t Generators 28014e1 [1,1,0,-1556,22800] 2 [32:-100:1] 28014e2 [1,1,0,-2716,-17336] 2 [-9:85:1]
28014f (4 curves)	0	2+ 3- 7+ 23+ 29+	2+ 3-  2 7+ -4  2  6 -4
Curve Equation t 28014f1 [1,0,1,-50,5828] 2 28014f2 [1,0,1,-5170,140996] 4 28014f3 [1,0,1,-9810,-152252] 2 28014f4 [1,0,1,-82450,9105476] 2
28014g (2 curves)	0	2+ 3- 7+ 23+ 29+	2+ 3-  4 7+  0  6  4 -4
Curve Equation t 28014g1 [1,0,1,-43394,3789524] 2 28014g2 [1,0,1,-711554,230963924] 2
28014h (2 curves)	1	2+ 3- 7+ 23- 29+	2+ 3- -2 7+  2  2 -4 -2
Curve Equation t Generators 28014h1 [1,0,1,1960508,-811899454] 2 [816563:32782477:1331] 28014h2 [1,0,1,-10066372,-7296793150] 2 [-1466:66386:1]
28014i (4 curves)	1	2+ 3- 7+ 23- 29+	2+ 3- -2 7+ -4  2  2  4
Curve Equation t Generators 28014i1 [1,0,1,-4892822,4165284440] 2 [1302:901:1] 28014i2 [1,0,1,-4892842,4165248680] 4 [1327:-3769:1] 28014i3 [1,0,1,-4739752,4438116296] 2 [760:35327:1] 28014i4 [1,0,1,-5046252,3890092504] 2 [1994:40920:1]
28014j (1 curve)	1	2+ 3- 7+ 23- 29+	2+ 3-  3 7+  1 -3  2 -6
Curve Equation t Generators 28014j1 [1,0,1,-40562,-3147772] 1 [40998:1562359:27]
28014k (4 curves)	1	2+ 3- 7- 23+ 29+	2+ 3-  0 7-  0  2  0 -4
Curve Equation t Generators 28014k1 [1,0,1,42279,42280] 6 [31:1160:1] 28014k2 [1,0,1,-169131,295972] 6 [422:1818:1] 28014k3 [1,0,1,-572916,-179253326] 2 [4081:253799:1] 28014k4 [1,0,1,-9352956,-11010310670] 2 [37038020:1677214891:8000]
28014l (1 curve)	1	2+ 3- 7- 23+ 29+	2+ 3- -3 7- -5 -5  4  0
Curve Equation t Generators 28014l1 [1,0,1,4910,277940] 1 [217:3293:1]
28014m (4 curves)	1	2- 3+ 7+ 23+ 29-	2- 3+ -2 7+  0 -2 -2  0
Curve Equation t Generators 28014m1 [1,1,1,12631,219287] 4 [-9:328:1] 28014m2 [1,1,1,-54649,1753271] 4 [273:2560:1] 28014m3 [1,1,1,-477469,-125938369] 2 [1731:64234:1] 28014m4 [1,1,1,-708309,228965487] 2 [14133:30802:27]
28014n (1 curve)	2	2- 3+ 7+ 23- 29-	2- 3+ -1 7+ -1 -7 -6 -6
Curve Equation t Generators 28014n1 [1,1,1,29,17] 1 [1:6:1]&[78:251:8]
28014o (2 curves)	0	2- 3+ 7+ 23- 29-	2- 3+  4 7+ -4  2  2  6
Curve Equation t 28014o1 [1,1,1,-56811,-5268519] 2 28014o2 [1,1,1,-910571,-334819879] 2
28014p (2 curves)	2	2- 3+ 7+ 23- 29-	2- 3+ -4 7+ -4 -4  0  0
Curve Equation t Generators 28014p1 [1,1,1,-78495,8685381] 2 [2361:-43882:27]&[-209:4106:1] 28014p2 [1,1,1,-1266335,547964741] 2 [689:-2116:1]&[643:-46:1]
28014q (1 curve)	1	2- 3+ 7- 23+ 29+	2- 3+  1 7-  1 -5 -4  4
Curve Equation t Generators 28014q1 [1,1,1,-1050,18219] 1 [9:-103:1]
28014r (1 curve)	1	2- 3+ 7- 23+ 29+	2- 3+ -3 7-  5 -5  0  0
Curve Equation t Generators 28014r1 [1,1,1,15498,1836147] 1 [225:-4209:1]
28014s (4 curves)	0	2- 3- 7+ 23+ 29-	2- 3-  2 7+  4  2  6 -4
Curve Equation t 28014s1 [1,0,0,-17247,990297] 4 28014s2 [1,0,0,-286367,58958745] 4 28014s3 [1,0,0,-296807,54425697] 2 28014s4 [1,0,0,-4581847,3774548945] 2
28014t (1 curve)	2	2- 3- 7+ 23- 29+	2- 3- -3 7+ -5 -5 -8  0
Curve Equation t Generators 28014t1 [1,0,0,-3562,176036] 1 [104:914:1]&[-68:358:1]
28014u (2 curves)	1	2- 3- 7+ 23- 29-	2- 3-  0 7+  4  0 -4  0
Curve Equation t Generators 28014u1 [1,0,0,-64343,-6516951] 2 [816:21603:1] 28014u2 [1,0,0,-1039903,-408252559] 2 [2672:124727:1]
28014v (2 curves)	1	2- 3- 7+ 23- 29-	2- 3- -2 7+  0  0 -2  4
Curve Equation t Generators 28014v1 [1,0,0,-349,-2191] 2 [-10:23:1] 28014v2 [1,0,0,-1509,20313] 2 [12:57:1]
28014w (1 curve)	1	2- 3- 7+ 23- 29-	2- 3- -3 7+ -5  3 -4  0
Curve Equation t Generators 28014w1 [1,0,0,-522589417,4648079512409] 1 [20378:1558595:1]
28014x (2 curves)	1	2- 3- 7- 23+ 29-	2- 3-  0 7-  0 -2  2 -6
Curve Equation t Generators 28014x1 [1,0,0,-783,12393] 2 [12:-75:1] 28014x2 [1,0,0,-14123,644709] 2 [-74:1171:1]
28014y (1 curve)	1	2- 3- 7- 23+ 29-	2- 3- -1 7- -3  1 -2  2
Curve Equation t Generators 28014y1 [1,0,0,-354381,89219217] 1 [2:9407:1]
28014z (1 curve)	1	2- 3- 7- 23+ 29-	2- 3- -1 7- -3  1  6 -6
Curve Equation t Generators 28014z1 [1,0,0,-884181,-321679503] 1 [1212:19077:1]
28014ba (4 curves)	1	2- 3- 7- 23+ 29-	2- 3-  2 7-  0 -2 -2 -4
Curve Equation t Generators 28014ba1 [1,0,0,-4757,101985] 2 [-20:445:1] 28014ba2 [1,0,0,-72037,7435505] 4 [104:983:1] 28014ba3 [1,0,0,-67977,8311653] 2 [198:1521:1] 28014ba4 [1,0,0,-1152577,476173757] 2 [626:-43:1]
28014bb (2 curves)	1	2- 3- 7- 23+ 29-	2- 3- -4 7-  0 -2 -6  6
Curve Equation t Generators 28014bb1 [1,0,0,-73255,-89794999] 2 [4214:270725:1] 28014bb2 [1,0,0,-3488295,-2490568119] 2 [4398:-261507:1]

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