Cremona's table of elliptic curves

22230 = 2 · 3² · 5 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
22230a (1 curve)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+  2  5 13+  3 19+
Curve Equation t Generators 22230a1 [1,-1,0,1830,155700] 1 [-39:174:1]
22230b (2 curves)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+ -4  0 13+ -2 19+
Curve Equation t Generators 22230b1 [1,-1,0,1200,71936] 2 [-5:259:1] 22230b2 [1,-1,0,-20400,1052576] 2 [-23:1240:1]
22230c (2 curves)	1	2+ 3+ 5+ 13+ 19+	2+ 3+ 5+ -4 -4 13+  6 19+
Curve Equation t Generators 22230c1 [1,-1,0,15,-279] 2 [12:33:1] 22230c2 [1,-1,0,-555,-4725] 2 [-15:15:1]
22230d (2 curves)	0	2+ 3+ 5+ 13+ 19-	2+ 3+ 5+  4  0 13+ -2 19-
Curve Equation t 22230d1 [1,-1,0,-53610,5597216] 2 22230d2 [1,-1,0,-897360,327403466] 2
22230e (1 curve)	1	2+ 3+ 5+ 13- 19-	2+ 3+ 5+  2  1 13-  1 19-
Curve Equation t Generators 22230e1 [1,-1,0,-2640750,-1669750084] 1 [277805:7186994:125]
22230f (1 curve)	1	2+ 3+ 5+ 13- 19-	2+ 3+ 5+ -3  1 13- -4 19-
Curve Equation t Generators 22230f1 [1,-1,0,195,325] 1 [5:35:1]
22230g (2 curves)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5-  0  0 13+ -2 19-
Curve Equation t Generators 22230g1 [1,-1,0,6411,-564427] 2 [77:579:1] 22230g2 [1,-1,0,-75669,-7180075] 2 [-149:952:1]
22230h (1 curve)	1	2+ 3+ 5- 13+ 19-	2+ 3+ 5-  3  3 13+ -4 19-
Curve Equation t Generators 22230h1 [1,-1,0,648606,1571683508] 1 [2347:125389:1]
22230i (2 curves)	0	2+ 3+ 5- 13- 19-	2+ 3+ 5-  2  3 13- -3 19-
Curve Equation t 22230i1 [1,-1,0,156,-342] 3 22230i2 [1,-1,0,-2769,-56827] 1
22230j (1 curve)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+ -1  5 13+ -6 19+
Curve Equation t 22230j1 [1,-1,0,-113805,-15618825] 1
22230k (1 curve)	0	2+ 3- 5+ 13+ 19+	2+ 3- 5+  4 -5 13+ -1 19+
Curve Equation t 22230k1 [1,-1,0,-5445,181845] 1
22230l (6 curves)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+  0 -4 13- -2 19+
Curve Equation t Generators 22230l1 [1,-1,0,14805,-1903739] 2 [167:2198:1] 22230l2 [1,-1,0,-169515,-23985275] 4 [-259:1709:1] 22230l3 [1,-1,0,-656235,179366341] 4 [-322:19061:1] 22230l4 [1,-1,0,-2631915,-1642767035] 2 [2483:83174:1] 22230l5 [1,-1,0,1033245,949431325] 2 [5385:918245:27] 22230l6 [1,-1,0,-10133235,12417964141] 2 [2837:79190:1]
22230m (2 curves)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+  2  4 13- -6 19+
Curve Equation t Generators 22230m1 [1,-1,0,-6300,-192740] 2 [116:734:1] 22230m2 [1,-1,0,-101070,-12342254] 2 [7246:198535:8]
22230n (2 curves)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+ -2  4 13-  6 19+
Curve Equation t Generators 22230n1 [1,-1,0,8325,-50139] 2 [45:621:1] 22230n2 [1,-1,0,-33795,-378675] 2 [261:2790:1]
22230o (1 curve)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+ -3 -1 13- -6 19+
Curve Equation t Generators 22230o1 [1,-1,0,-1521990,723093556] 1 [713:-334:1]
22230p (4 curves)	1	2+ 3- 5+ 13- 19+	2+ 3- 5+ -4  4 13-  6 19+
Curve Equation t Generators 22230p1 [1,-1,0,-402300,202945360] 2 [1103:32618:1] 22230p2 [1,-1,0,-8189820,9016860496] 4 [453:73256:1] 22230p3 [1,-1,0,-9968220,4815212656] 2 [165:56264:1] 22230p4 [1,-1,0,-131011740,577215626800] 2 [34348245:-284435960:4913]
22230q (4 curves)	0	2+ 3- 5+ 13- 19-	2+ 3- 5+  0  4 13-  2 19-
Curve Equation t 22230q1 [1,-1,0,-7020,219856] 2 22230q2 [1,-1,0,-18540,-676400] 4 22230q3 [1,-1,0,49860,-4547840] 2 22230q4 [1,-1,0,-271260,-54303584] 2
22230r (4 curves)	1	2+ 3- 5- 13+ 19+	2+ 3- 5-  0  4 13+ -2 19+
Curve Equation t Generators 22230r1 [1,-1,0,-17559,899613] 2 [87:114:1] 22230r2 [1,-1,0,-20439,586845] 4 [-74:1337:1] 22230r3 [1,-1,0,68481,4268133] 2 [97:3389:1] 22230r4 [1,-1,0,-155439,-23146155] 2 [-209:527:1]
22230s (3 curves)	1	2+ 3- 5- 13- 19-	2+ 3- 5- -1  3 13-  6 19-
Curve Equation t Generators 22230s1 [1,-1,0,-7254,-400140] 1 [1038:6771:8] 22230s2 [1,-1,0,60786,7233948] 3 [-93:924:1] 22230s3 [1,-1,0,-1873224,992098530] 3 [-1119:41622:1]
22230t (2 curves)	1	2+ 3- 5- 13- 19-	2+ 3- 5-  2 -4 13-  2 19-
Curve Equation t Generators 22230t1 [1,-1,0,-294,2420] 2 [4:34:1] 22230t2 [1,-1,0,-4974,136268] 2 [17:229:1]
22230u (2 curves)	1	2+ 3- 5- 13- 19-	2+ 3- 5- -2  4 13- -6 19-
Curve Equation t Generators 22230u1 [1,-1,0,-2049,-1390807] 2 [157:1384:1] 22230u2 [1,-1,0,-199779,-33937165] 2 [-259:747:1]
22230v (4 curves)	1	2+ 3- 5- 13- 19-	2+ 3- 5- -4  0 13-  0 19-
Curve Equation t Generators 22230v1 [1,-1,0,-67374,-6720300] 2 [6222:159051:8] 22230v2 [1,-1,0,-1078254,-430683372] 2 [2892:142194:1] 22230v3 [1,-1,0,81666,-30433212] 6 [264:2946:1] 22230v4 [1,-1,0,-1104714,-408413880] 6 [-726:3612:1]
22230w (2 curves)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+  0  0 13+  2 19-
Curve Equation t Generators 22230w1 [1,-1,1,712,20667] 2 [5:153:1] 22230w2 [1,-1,1,-8408,268731] 2 [-55:777:1]
22230x (1 curve)	1	2- 3+ 5+ 13+ 19-	2- 3+ 5+  3 -3 13+  4 19-
Curve Equation t Generators 22230x1 [1,-1,1,72067,-58234523] 1 [8593:792578:1]
22230y (2 curves)	0	2- 3+ 5+ 13- 19-	2- 3+ 5+  2 -3 13-  3 19-
Curve Equation t 22230y1 [1,-1,1,-308,2207] 3 22230y2 [1,-1,1,1402,7831] 1
22230z (1 curve)	1	2- 3+ 5- 13+ 19+	2- 3+ 5-  2 -5 13+ -3 19+
Curve Equation t Generators 22230z1 [1,-1,1,16468,-4220369] 1 [181:2069:1]
22230ba (2 curves)	1	2- 3+ 5- 13+ 19+	2- 3+ 5- -4  0 13+  2 19+
Curve Equation t Generators 22230ba1 [1,-1,1,133,-2709] 2 [21:84:1] 22230ba2 [1,-1,1,-2267,-38229] 2 [-31:54:1]
22230bb (2 curves)	1	2- 3+ 5- 13+ 19+	2- 3+ 5- -4  4 13+ -6 19+
Curve Equation t Generators 22230bb1 [1,-1,1,133,7399] 2 [199:2708:1] 22230bb2 [1,-1,1,-4997,132571] 2 [1630:21151:8]
22230bc (2 curves)	0	2- 3+ 5- 13+ 19-	2- 3+ 5-  4  0 13+  2 19-
Curve Equation t 22230bc1 [1,-1,1,-5957,-205319] 2 22230bc2 [1,-1,1,-99707,-12092819] 2
22230bd (1 curve)	1	2- 3+ 5- 13- 19-	2- 3+ 5-  2 -1 13- -1 19-
Curve Equation t Generators 22230bd1 [1,-1,1,-293417,61940401] 1 [1105:32402:1]
22230be (1 curve)	1	2- 3+ 5- 13- 19-	2- 3+ 5- -3 -1 13-  4 19-
Curve Equation t Generators 22230be1 [1,-1,1,1753,-10529] 1 [31:254:1]
22230bf (4 curves)	1	2- 3- 5+ 13+ 19+	2- 3- 5+  0  4 13+  2 19+
Curve Equation t Generators 22230bf1 [1,-1,1,-5738,509721] 2 [47:561:1] 22230bf2 [1,-1,1,-136958,19510377] 4 [-387:3993:1] 22230bf3 [1,-1,1,-183128,5253081] 2 [-25740:249963:64] 22230bf4 [1,-1,1,-2190308,1248235017] 2 [79038:7732807:8]
22230bg (4 curves)	1	2- 3- 5+ 13+ 19+	2- 3- 5+  0  4 13+ -2 19+
Curve Equation t Generators 22230bg1 [1,-1,1,3622,-6162919] 2 [273:3751:1] 22230bg2 [1,-1,1,-483098,-126480103] 4 [1287:36535:1] 22230bg3 [1,-1,1,-1068098,239963897] 2 [102405:6030551:27] 22230bg4 [1,-1,1,-7685618,-8199064519] 2 [4251:187441:1]
22230bh (2 curves)	1	2- 3- 5+ 13+ 19+	2- 3- 5+ -2 -4 13+  2 19+
Curve Equation t Generators 22230bh1 [1,-1,1,112,506607] 2 [-55:603:1] 22230bh2 [1,-1,1,-94658,11045031] 2 [5878:144081:8]
22230bi (1 curve)	1	2- 3- 5+ 13+ 19+	2- 3- 5+  4 -1 13+ -7 19+
Curve Equation t Generators 22230bi1 [1,-1,1,-3578,1437387] 1 [-6412:59793:64]
22230bj (4 curves)	1	2- 3- 5+ 13+ 19+	2- 3- 5+  4 -4 13+  2 19+
Curve Equation t Generators 22230bj1 [1,-1,1,2850817,-1433015769] 2 [1331:68022:1] 22230bj2 [1,-1,1,-14671103,-12878333913] 4 [5387:251070:1] 22230bj3 [1,-1,1,-102421103,389753766087] 2 [50843183:1308201630:6859] 22230bj4 [1,-1,1,-207271823,-1148221058169] 2 [13082783:-2343862074:343]
22230bk (1 curve)	1	2- 3- 5+ 13+ 19+	2- 3- 5+ -5 -1 13+  2 19+
Curve Equation t Generators 22230bk1 [1,-1,1,-729518,-1268101443] 1 [3353:182643:1]
22230bl (2 curves)	0	2- 3- 5+ 13+ 19-	2- 3- 5+  2  0 13+ -4 19-
Curve Equation t 22230bl1 [1,-1,1,-252037328,1545892382387] 2 22230bl2 [1,-1,1,-4036772048,98719713265331] 2
22230bm (1 curve)	0	2- 3- 5+ 13+ 19-	2- 3- 5+ -3  0 13+ -4 19-
Curve Equation t 22230bm1 [1,-1,1,-23,-453] 1
22230bn (4 curves)	0	2- 3- 5- 13+ 19+	2- 3- 5-  0  0 13+  6 19+
Curve Equation t 22230bn1 [1,-1,1,-45167,3705959] 4 22230bn2 [1,-1,1,-45347,3675071] 4 22230bn3 [1,-1,1,-2597,10292771] 2 22230bn4 [1,-1,1,-90977,-4921621] 2
22230bo (1 curve)	0	2- 3- 5- 13+ 19+	2- 3- 5- -1  0 13+ -4 19+
Curve Equation t 22230bo1 [1,-1,1,735392713,-15567554680689] 1
22230bp (2 curves)	0	2- 3- 5- 13+ 19+	2- 3- 5-  4  0 13+ -4 19+
Curve Equation t 22230bp1 [1,-1,1,-145202,24559409] 2 22230bp2 [1,-1,1,-2419682,1449293681] 2
22230bq (2 curves)	1	2- 3- 5- 13+ 19-	2- 3- 5-  0  0 13+ -4 19-
Curve Equation t Generators 22230bq1 [1,-1,1,40781218,-85012481811] 2 [8057:871491:1] 22230bq2 [1,-1,1,-218004062,-777935947539] 2 [-12399:143379:1]
22230br (1 curve)	1	2- 3- 5- 13+ 19-	2- 3- 5-  0  3 13+ -1 19-
Curve Equation t Generators 22230br1 [1,-1,1,-887,12399] 1 [47:-294:1]
22230bs (1 curve)	1	2- 3- 5- 13- 19+	2- 3- 5-  1 -3 13-  2 19+
Curve Equation t Generators 22230bs1 [1,-1,1,-2282,44489] 1 [117:1111:1]
22230bt (3 curves)	0	2- 3- 5- 13- 19-	2- 3- 5- -1  0 13-  0 19-
Curve Equation t 22230bt1 [1,-1,1,-15737,-755899] 1 22230bt2 [1,-1,1,-14972,-833281] 3 22230bt3 [1,-1,1,107293,5488931] 3
22230bu (1 curve)	0	2- 3- 5- 13- 19-	2- 3- 5-  3  1 13-  6 19-
Curve Equation t 22230bu1 [1,-1,1,18328,-628779] 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