Cremona's table of elliptic curves

19074 = 2 · 3 · 11 · 17²

Class	r	Atkin-Lehner	Eigenvalues
19074a (2 curves)	1	2+ 3+ 11+ 17+	2+ 3+  2  2 11+  0 17+  6
Curve Equation t Generators 19074a1 [1,1,0,-157944,23574528] 2 [-136:6592:1] 19074a2 [1,1,0,-354464,-47054760] 2 [-81039:1705887:343]
19074b (4 curves)	2	2+ 3+ 11- 17+	2+ 3+  0 -2 11- -4 17+ -4
Curve Equation t Generators 19074b1 [1,1,0,-1595,22473] 2 [-32:221:1]&[1:144:1] 19074b2 [1,1,0,1295,98191] 2 [-33:161:1]&[35:416:1] 19074b3 [1,1,0,-23270,-1370796] 2 [-92:90:1]&[460:9018:1] 19074b4 [1,1,0,-11710,-2718692] 2 [241:2800:1]&[307:4615:1]
19074c (2 curves)	0	2+ 3+ 11- 17+	2+ 3+  2  4 11-  0 17+ -2
Curve Equation t 19074c1 [1,1,0,-33674,2294880] 2 19074c2 [1,1,0,-82804,-6008090] 2
19074d (2 curves)	0	2+ 3+ 11- 17+	2+ 3+  2 -4 11-  0 17+  6
Curve Equation t 19074d1 [1,1,0,-2972379,-1970514915] 2 19074d2 [1,1,0,-47536859,-126171720675] 2
19074e (1 curve)	1	2+ 3+ 11- 17-	2+ 3+  2 -2 11-  3 17- -5
Curve Equation t Generators 19074e1 [1,1,0,-475844,-126553458] 1 [7318:110785:8]
19074f (4 curves)	0	2+ 3- 11+ 17+	2+ 3-  2  0 11+  2 17+ -4
Curve Equation t 19074f1 [1,0,1,-1926625,774195284] 2 19074f2 [1,0,1,-28653345,59027754196] 4 19074f3 [1,0,1,-458442585,3778080005764] 2 19074f4 [1,0,1,-26491625,68310179876] 2
19074g (1 curve)	0	2+ 3- 11+ 17+	2+ 3- -2  2 11+  3 17+ -5
Curve Equation t 19074g1 [1,0,1,-1647,-25856] 1
19074h (2 curves)	0	2+ 3- 11+ 17+	2+ 3- -2  4 11+  0 17+  6
Curve Equation t 19074h1 [1,0,1,-859017682,-9675126653980] 2 19074h2 [1,0,1,-13738152402,-619785496609820] 2
19074i (2 curves)	2	2+ 3- 11+ 17+	2+ 3- -2 -4 11+  0 17+ -2
Curve Equation t Generators 19074i1 [1,0,1,-117,460] 2 [-11:26:1]&[-10:30:1] 19074i2 [1,0,1,-287,-1240] 2 [-12:28:1]&[-10:30:1]
19074j (4 curves)	0	2+ 3- 11+ 17+	2+ 3- -2 -4 11+  6 17+  4
Curve Equation t 19074j1 [1,0,1,-2392782,-1282066304] 2 19074j2 [1,0,1,-9074462,9146699840] 4 19074j3 [1,0,1,-139858522,636596306096] 4 19074j4 [1,0,1,14802718,49164853520] 2
19074k (2 curves)	1	2+ 3- 11- 17+	2+ 3- -2  2 11-  0 17+ -2
Curve Equation t Generators 19074k1 [1,0,1,-76447,-408526] 2 [-9:532:1] 19074k2 [1,0,1,-862527,-307608590] 2 [20900:3008010:1]
19074l (1 curve)	0	2- 3+ 11+ 17+	2- 3+  0  1 11+ -5 17+  1
Curve Equation t 19074l1 [1,1,1,572,-7375] 1
19074m (2 curves)	0	2- 3+ 11+ 17+	2- 3+  0 -2 11+  4 17+ -8
Curve Equation t 19074m1 [1,1,1,-57228,5245353] 2 19074m2 [1,1,1,-54338,5802545] 2
19074n (4 curves)	0	2- 3+ 11+ 17+	2- 3+  0 -2 11+ -4 17+  8
Curve Equation t 19074n1 [1,1,1,-59374478,-174341906485] 2 19074n2 [1,1,1,-12024718,-444690096181] 2 19074n3 [1,1,1,-4795830158,-127835240812597] 2 19074n4 [1,1,1,-4795783918,-127837829105845] 2
19074o (1 curve)	0	2- 3+ 11+ 17+	2- 3+  2 -1 11+  3 17+ -3
Curve Equation t 19074o1 [1,1,1,-168782,750089099] 1
19074p (4 curves)	0	2- 3+ 11+ 17+	2- 3+  4  2 11+  4 17+  0
Curve Equation t 19074p1 [1,1,1,-13011,410961] 2 19074p2 [1,1,1,33229,2722961] 2 19074p3 [1,1,1,-2908791,-1910699799] 2 19074p4 [1,1,1,-2905901,-1914682219] 2
19074q (2 curves)	0	2- 3+ 11+ 17+	2- 3+  4  4 11+ -6 17+ -8
Curve Equation t 19074q1 [1,1,1,-8609316,9637480101] 2 19074q2 [1,1,1,-2320676,23422178981] 2
19074r (2 curves)	0	2- 3+ 11+ 17+	2- 3+ -4  2 11+  0 17+  0
Curve Equation t 19074r1 [1,1,1,-56650,-5210089] 2 19074r2 [1,1,1,-45090,-7383369] 2
19074s (2 curves)	1	2- 3+ 11- 17+	2- 3+  0  0 11-  2 17+  0
Curve Equation t Generators 19074s1 [1,1,1,-104913,-12939105] 2 [-187:522:1] 19074s2 [1,1,1,-6653,-36089161] 2 [24429:701914:27]
19074t (2 curves)	1	2- 3+ 11- 17+	2- 3+  2  4 11- -4 17+ -8
Curve Equation t Generators 19074t1 [1,1,1,-261262,50884811] 2 [-305:10267:1] 19074t2 [1,1,1,-76302,121761483] 2 [121:10631:1]
19074u (1 curve)	1	2- 3+ 11- 17+	2- 3+  2 -5 11- -1 17+  1
Curve Equation t Generators 19074u1 [1,1,1,-57,-201] 1 [9:6:1]
19074v (1 curve)	1	2- 3+ 11- 17+	2- 3+ -2 -1 11-  7 17+ -7
Curve Equation t Generators 19074v1 [1,1,1,-4684339,3901592177] 1 [1261:-1962:1]
19074w (1 curve)	1	2- 3+ 11- 17+	2- 3+ -2  2 11-  1 17+  5
Curve Equation t Generators 19074w1 [1,1,1,11,-133] 1 [5:6:1]
19074x (2 curves)	1	2- 3+ 11- 17+	2- 3+ -2  2 11-  4 17+  2
Curve Equation t Generators 19074x1 [1,1,1,-3474,62427] 2 [2505:3309:125] 19074x2 [1,1,1,-52604,4621691] 2 [1198:2287:8]
19074y (4 curves)	1	2- 3+ 11- 17+	2- 3+ -2 -4 11- -2 17+ -4
Curve Equation t Generators 19074y1 [1,1,1,-1689789,-661874733] 4 [-985:7428:1] 19074y2 [1,1,1,-25364669,-49176438829] 4 [-2897:2900:1] 19074y3 [1,1,1,-405827389,-3146903905069] 2 [41039:7002180:1] 19074y4 [1,1,1,-23700029,-55907577133] 2 [6291:206668:1]
19074z (2 curves)	1	2- 3- 11+ 17+	2- 3-  0  0 11+  2 17+  0
Curve Equation t Generators 19074z1 [1,0,0,-363,-2655] 2 [-12:9:1] 19074z2 [1,0,0,-23,-7347] 2 [22:43:1]
19074ba (2 curves)	1	2- 3- 11+ 17+	2- 3-  2  0 11+ -4 17+ -4
Curve Equation t Generators 19074ba1 [1,0,0,-2607,-25095] 2 [314:5333:1] 19074ba2 [1,0,0,8953,-184623] 2 [28:283:1]
19074bb (2 curves)	1	2- 3- 11+ 17+	2- 3- -2  2 11+  4 17+ -2
Curve Equation t Generators 19074bb1 [1,0,0,-119006449,-480311149207] 2 [-6742:128219:1] 19074bb2 [1,0,0,-320242929,1572341194089] 2 [15834:678747:1]
19074bc (4 curves)	1	2- 3- 11+ 17+	2- 3- -2 -4 11+ -2 17+  4
Curve Equation t Generators 19074bc1 [1,0,0,-111849,14387913] 4 [-384:1059:1] 19074bc2 [1,0,0,-117629,12816909] 4 [-386:1057:1] 19074bc3 [1,0,0,-559799,-149459481] 2 [-112854:203747:216] 19074bc4 [1,0,0,232061,74572163] 2 [2878:113005:8]
19074bd (1 curve)	0	2- 3- 11+ 17-	2- 3-  2  1 11+  7 17- -7
Curve Equation t 19074bd1 [1,0,0,-1353773977,19177998784313] 1
19074be (1 curve)	0	2- 3- 11+ 17-	2- 3-  2 -2 11+  1 17-  5
Curve Equation t 19074be1 [1,0,0,3173,-674767] 1
19074bf (1 curve)	0	2- 3- 11+ 17-	2- 3- -2  5 11+ -1 17-  1
Curve Equation t 19074bf1 [1,0,0,-16479,-871287] 1
19074bg (6 curves)	0	2- 3- 11- 17+	2- 3-  2  0 11- -2 17+ -4
Curve Equation t 19074bg1 [1,0,0,-82082,6849348] 2 19074bg2 [1,0,0,-452002,-111303100] 4 19074bg3 [1,0,0,-7133682,-7334199180] 4 19074bg4 [1,0,0,310958,-448684012] 2 19074bg5 [1,0,0,-114138822,-469360992672] 2 19074bg6 [1,0,0,-7035422,-7546028088] 4
19074bh (4 curves)	0	2- 3- 11- 17+	2- 3- -2  4 11- -6 17+  4
Curve Equation t 19074bh1 [1,0,0,-584,48] 2 19074bh2 [1,0,0,-6364,-195316] 4 19074bh3 [1,0,0,-101734,-12498046] 2 19074bh4 [1,0,0,-3474,-372762] 2
19074bi (2 curves)	2	2- 3- 11- 17+	2- 3- -4 -4 11- -6 17+ -8
Curve Equation t Generators 19074bi1 [1,0,0,-29790,1959876] 2 [398:-7492:1]&[-150:1824:1] 19074bi2 [1,0,0,-8030,4766916] 2 [1672:-69146:1]&[-146:1756:1]
19074bj (1 curve)	1	2- 3- 11- 17-	2- 3-  0 -1 11- -5 17-  1
Curve Equation t Generators 19074bj1 [1,0,0,165302,-37389616] 1 [2336:113276:1]
19074bk (1 curve)	1	2- 3- 11- 17-	2- 3- -2  1 11-  3 17- -3
Curve Equation t Generators 19074bk1 [1,0,0,-584,152640] 1 [58:-590:1]

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