Cremona's table of elliptic curves

19152 = 2⁴ · 3² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
19152a (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+  0 7+  4  2  2 19+
Curve Equation t Generators 19152a1 [0,0,0,-675,1458] 2 [1:28:1] 19152a2 [0,0,0,-8235,287226] 2 [55:26:1]
19152b (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+  0 7+ -4  2 -2 19+
Curve Equation t Generators 19152b1 [0,0,0,-75,-54] 2 [-5:14:1] 19152b2 [0,0,0,-915,-10638] 2 [-17:2:1]
19152c (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+  2 7+ -2  2 -2 19+
Curve Equation t Generators 19152c1 [0,0,0,-22734,1319355] 2 [210:6885:8] 19152c2 [0,0,0,-22599,1335798] 2 [69:324:1]
19152d (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+ -2 7+  2  2  2 19+
Curve Equation t Generators 19152d1 [0,0,0,-2526,-48865] 2 [647:16406:1] 19152d2 [0,0,0,-2511,-49474] 2 [61:156:1]
19152e (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  0 7+  2  6  0 19-
Curve Equation t 19152e1 [0,0,0,30,-117] 2 19152e2 [0,0,0,-255,-1314] 2
19152f (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  0 7+ -2  6  0 19-
Curve Equation t 19152f1 [0,0,0,270,3159] 2 19152f2 [0,0,0,-2295,35478] 2
19152g (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  2 7+  6  0  4 19-
Curve Equation t 19152g1 [0,0,0,-65259,-6356502] 2 19152g2 [0,0,0,-118179,5423490] 2
19152h (2 curves)	2	2+ 3+ 7+ 19-	2+ 3+ -2 7+ -6  0 -4 19-
Curve Equation t Generators 19152h1 [0,0,0,-7251,235426] 2 [-94:294:1]&[-55:684:1] 19152h2 [0,0,0,-13131,-200870] 2 [-102:278:1]&[-87:532:1]
19152i (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  4 7-  2  2  0 19+
Curve Equation t 19152i1 [0,0,0,-6663,208710] 2 19152i2 [0,0,0,-3723,393930] 2
19152j (2 curves)	0	2+ 3+ 7- 19+	2+ 3+ -4 7- -2  2  0 19+
Curve Equation t 19152j1 [0,0,0,-59967,-5635170] 2 19152j2 [0,0,0,-33507,-10636110] 2
19152k (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  2 7-  2 -4 -4 19-
Curve Equation t Generators 19152k1 [0,0,0,-3699,-73278] 2 [-39:108:1] 19152k2 [0,0,0,-56619,-5185350] 2 [-137:10:1]
19152l (2 curves)	1	2+ 3+ 7- 19-	2+ 3+ -2 7- -2 -4  4 19-
Curve Equation t Generators 19152l1 [0,0,0,-411,2714] 2 [5:28:1] 19152l2 [0,0,0,-6291,192050] 2 [47:14:1]
19152m (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  0 7+  2 -4  0 19+
Curve Equation t 19152m1 [0,0,0,-215535,30330862] 2 19152m2 [0,0,0,-3240795,2245426234] 2
19152n (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  0 7+ -4  2  0 19+
Curve Equation t 19152n1 [0,0,0,-390,-3197] 2 19152n2 [0,0,0,-6375,-195914] 2
19152o (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  4 7+  2 -4 -4 19+
Curve Equation t 19152o1 [0,0,0,-1623,24950] 2 19152o2 [0,0,0,-2883,-19150] 2
19152p (2 curves)	1	2+ 3- 7+ 19-	2+ 3-  0 7+  0 -2  8 19-
Curve Equation t Generators 19152p1 [0,0,0,330,10523] 2 [211:3078:1] 19152p2 [0,0,0,-5655,152966] 2 [22:198:1]
19152q (4 curves)	1	2+ 3- 7+ 19-	2+ 3-  2 7+  0 -2 -6 19-
Curve Equation t Generators 19152q1 [0,0,0,-759,-2378] 2 [-19:72:1] 19152q2 [0,0,0,-9579,-360470] 4 [170:1710:1] 19152q3 [0,0,0,-153219,-23084318] 2 [674:13410:1] 19152q4 [0,0,0,-7059,-554510] 2 [167:1710:1]
19152r (4 curves)	1	2+ 3- 7+ 19-	2+ 3-  2 7+ -4  2 -2 19-
Curve Equation t Generators 19152r1 [0,0,0,366,1955] 2 [15055:167384:125] 19152r2 [0,0,0,-1839,17390] 4 [-38:180:1] 19152r3 [0,0,0,-13179,-570022] 2 [154:1026:1] 19152r4 [0,0,0,-25779,1592642] 2 [-149:1458:1]
19152s (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  0 -2  0 19+
Curve Equation t Generators 19152s1 [0,0,0,-390,2959] 2 [15:22:1] 19152s2 [0,0,0,-255,5038] 2 [-3:76:1]
19152t (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7-  0 -2 -2 19+
Curve Equation t Generators 19152t1 [0,0,0,2886,-33077] 2 [2655:24304:125] 19152t2 [0,0,0,-13359,-283250] 4 [153:1120:1] 19152t3 [0,0,0,-180939,-29609750] 2 [1350:46760:1] 19152t4 [0,0,0,-105699,13032178] 4 [-319:3780:1]
19152u (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7- -4  2  6 19+
Curve Equation t Generators 19152u1 [0,0,0,-39234,-1171613] 2 [219:860:1] 19152u2 [0,0,0,-334479,73643470] 4 [62:7290:1] 19152u3 [0,0,0,-5335419,4743521242] 2 [251:58482:1] 19152u4 [0,0,0,-57459,191931010] 2 [-267:13720:1]
19152v (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  4 -6 -6 19+
Curve Equation t Generators 19152v1 [0,0,0,-426,-3341] 2 [51:328:1] 19152v2 [0,0,0,-831,4030] 4 [-22:108:1] 19152v3 [0,0,0,-11091,449314] 4 [-85:882:1] 19152v4 [0,0,0,2949,30490] 2 [6:220:1]
19152w (2 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  6 -2  8 19+
Curve Equation t Generators 19152w1 [0,0,0,-1371,18394] 2 [5:108:1] 19152w2 [0,0,0,1149,78370] 2 [23:342:1]
19152x (2 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7- -6 -2  0 19+
Curve Equation t Generators 19152x1 [0,0,0,-44598531,-114606150766] 2 [-3901:2842:1] 19152x2 [0,0,0,-38548011,-146820329350] 2 [8447:360934:1]
19152y (2 curves)	1	2+ 3- 7- 19+	2+ 3-  4 7-  0 -2 -4 19+
Curve Equation t Generators 19152y1 [0,0,0,-957918,-360861545] 2 [141555:321566:125] 19152y2 [0,0,0,-956703,-361822610] 2 [2705:129780:1]
19152z (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7-  6  4  0 19-
Curve Equation t 19152z1 [0,0,0,-255,1118] 2 19152z2 [0,0,0,-1515,-21814] 2
19152ba (4 curves)	2	2+ 3- 7- 19-	2+ 3- -2 7- -4 -6 -2 19-
Curve Equation t Generators 19152ba1 [0,0,0,-8391,295846] 2 [-94:504:1]&[5:504:1] 19152ba2 [0,0,0,-8571,282490] 4 [-87:608:1]&[-85:630:1] 19152ba3 [0,0,0,-29091,-1584830] 2 [-123:364:1]&[-81:490:1] 19152ba4 [0,0,0,9069,1295026] 2 [-57:770:1]&[-25:1026:1]
19152bb (2 curves)	0	2+ 3- 7- 19-	2+ 3-  4 7-  4  2  4 19-
Curve Equation t 19152bb1 [0,0,0,-318,-1465] 2 19152bb2 [0,0,0,897,-9970] 2
19152bc (4 curves)	0	2- 3+ 7+ 19+	2- 3+  0 7+  0  2  6 19+
Curve Equation t 19152bc1 [0,0,0,-7755,-252166] 2 19152bc2 [0,0,0,-21195,857978] 2 19152bc3 [0,0,0,-98955,11911482] 2 19152bc4 [0,0,0,-1580715,764941914] 2
19152bd (4 curves)	0	2- 3+ 7+ 19+	2- 3+  0 7+  0  2 -6 19+
Curve Equation t 19152bd1 [0,0,0,-10995,-441166] 2 19152bd2 [0,0,0,-175635,-28331182] 2 19152bd3 [0,0,0,-69795,6808482] 2 19152bd4 [0,0,0,-190755,-23165406] 2
19152be (2 curves)	0	2- 3+ 7+ 19+	2- 3+  0 7+  2 -6  8 19+
Curve Equation t 19152be1 [0,0,0,-8235,-287334] 2 19152be2 [0,0,0,-6075,-441558] 2
19152bf (2 curves)	2	2- 3+ 7+ 19+	2- 3+  0 7+ -2 -6 -8 19+
Curve Equation t Generators 19152bf1 [0,0,0,-915,10642] 2 [-33:70:1]&[9:56:1] 19152bf2 [0,0,0,-675,16354] 2 [-15:152:1]&[-7:144:1]
19152bg (4 curves)	0	2- 3+ 7+ 19+	2- 3+  0 7+  6  2  0 19+
Curve Equation t 19152bg1 [0,0,0,-2235075,-1286134078] 2 19152bg2 [0,0,0,-2231235,-1290773566] 2 19152bg3 [0,0,0,-2434995,-1042395534] 2 19152bg4 [0,0,0,6412365,-6876344718] 2
19152bh (4 curves)	0	2- 3+ 7+ 19+	2- 3+  0 7+ -6  2  0 19+
Curve Equation t 19152bh1 [0,0,0,-270555,38607242] 2 19152bh2 [0,0,0,712485,254679434] 2 19152bh3 [0,0,0,-20115675,34725620106] 2 19152bh4 [0,0,0,-20081115,34850886282] 2
19152bi (2 curves)	0	2- 3+ 7+ 19+	2- 3+  4 7+  2 -2  0 19+
Curve Equation t 19152bi1 [0,0,0,-7803,260010] 2 19152bi2 [0,0,0,837,804330] 2
19152bj (2 curves)	2	2- 3+ 7+ 19+	2- 3+ -4 7+ -2 -2  0 19+
Curve Equation t Generators 19152bj1 [0,0,0,-867,-9630] 2 [-18:12:1]&[-17:14:1] 19152bj2 [0,0,0,93,-29790] 2 [33:96:1]&[49:304:1]
19152bk (2 curves)	1	2- 3- 7+ 19+	2- 3-  0 7+ -2  0  4 19+
Curve Equation t Generators 19152bk1 [0,0,0,-1875,-28334] 2 [-25:54:1] 19152bk2 [0,0,0,-6915,190402] 2 [119:1026:1]
19152bl (6 curves)	1	2- 3- 7+ 19+	2- 3-  0 7+  6 -4  0 19+
Curve Equation t Generators 19152bl1 [0,0,0,-1123275,458221178] 2 [487:5166:1] 19152bl2 [0,0,0,-1143435,440919866] 2 [455:3854:1] 19152bl3 [0,0,0,-1609275,24153194] 2 [-1300937:34279936:1331] 19152bl4 [0,0,0,-17414715,-27878770582] 2 [-38698064581:-153948403838:16194277] 19152bl5 [0,0,0,-88080555,-318174471718] 2 [-4499500247842804148659:-624501018165977808896:831880915638150169] 19152bl6 [0,0,0,-1409286315,-20363244021286] 2 [-10226552104269275339009676124330606345:421743043128277374476939812739266:471835060984680125466230511862177]
19152bm (2 curves)	1	2- 3- 7+ 19+	2- 3-  2 7+ -2 -6 -2 19+
Curve Equation t Generators 19152bm1 [0,0,0,-2064,83603] 2 [-11:324:1] 19152bm2 [0,0,0,-43959,3544130] 2 [70:900:1]
19152bn (2 curves)	1	2- 3- 7+ 19+	2- 3-  2 7+  4  4 -6 19+
Curve Equation t Generators 19152bn1 [0,0,0,36,135] 2 [255:980:27] 19152bn2 [0,0,0,-279,1458] 2 [-6:54:1]
19152bo (2 curves)	1	2- 3- 7+ 19+	2- 3- -4 7+ -2  0 -8 19+
Curve Equation t Generators 19152bo1 [0,0,0,-5547,-142630] 2 [-43:128:1] 19152bo2 [0,0,0,-86187,-9738790] 2 [-169:2:1]
19152bp (4 curves)	0	2- 3- 7+ 19-	2- 3-  2 7+ -4 -2  2 19-
Curve Equation t 19152bp1 [0,0,0,-23259,-798838] 2 19152bp2 [0,0,0,-164379,25082570] 4 19152bp3 [0,0,0,-2613819,1626526442] 4 19152bp4 [0,0,0,27141,80048810] 2
19152bq (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7- -2  6  8 19+
Curve Equation t 19152bq1 [0,0,0,2220,-42653] 2 19152bq2 [0,0,0,-13215,-410006] 2
19152br (2 curves)	0	2- 3- 7- 19+	2- 3-  2 7-  2 -6  4 19+
Curve Equation t 19152br1 [0,0,0,-50979,-3534302] 2 19152br2 [0,0,0,110301,-21371870] 2
19152bs (2 curves)	0	2- 3- 7- 19+	2- 3-  2 7- -2  2 -2 19+
Curve Equation t 19152bs1 [0,0,0,-2784,-57157] 2 19152bs2 [0,0,0,-44679,-3634990] 2
19152bt (2 curves)	0	2- 3- 7- 19+	2- 3-  2 7- -2  2  4 19+
Curve Equation t 19152bt1 [0,0,0,-13179,576938] 2 19152bt2 [0,0,0,-3099,1437770] 2
19152bu (4 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  0  2  2 19+
Curve Equation t 19152bu1 [0,0,0,429,-26350] 2 19152bu2 [0,0,0,-11091,-429550] 4 19152bu3 [0,0,0,-175251,-28238254] 2 19152bu4 [0,0,0,-31251,1574354] 2
19152bv (2 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  6  2  2 19+
Curve Equation t 19152bv1 [0,0,0,394584,-29193649] 2 19152bv2 [0,0,0,-1658271,-238995430] 2
19152bw (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  2  2  0 19-
Curve Equation t Generators 19152bw1 [0,0,0,-1020,-614189] 2 [6245:493506:1] 19152bw2 [0,0,0,-114735,-14783078] 2 [1349718:106533323:216]
19152bx (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  2 -4  0 19-
Curve Equation t Generators 19152bx1 [0,0,0,-1515,14362] 2 [-1:126:1] 19152bx2 [0,0,0,-21675,1227994] 2 [95:162:1]
19152by (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7- -2 -4  4 19-
Curve Equation t Generators 19152by1 [0,0,0,-30315,-610598] 2 [-121:1134:1] 19152by2 [0,0,0,-277275,55745674] 2 [383:2394:1]
19152bz (4 curves)	1	2- 3- 7- 19-	2- 3- -2 7-  0  2 -2 19-
Curve Equation t Generators 19152bz1 [0,0,0,-11451,-378646] 2 [-74:252:1] 19152bz2 [0,0,0,-57531,4975850] 4 [-233:2394:1] 19152bz3 [0,0,0,-904251,330963050] 4 [551:70:1] 19152bz4 [0,0,0,51909,21676394] 2 [125:5488:1]
19152ca (2 curves)	1	2- 3- 7- 19-	2- 3-  4 7- -6 -4  4 19-
Curve Equation t Generators 19152ca1 [0,0,0,-146163,20123570] 2 [-185:6390:1] 19152ca2 [0,0,0,-468723,-99546190] 2 [-41045:544286:125]
19152cb (2 curves)	1	2- 3- 7- 19-	2- 3- -4 7- -2  4  0 19-
Curve Equation t Generators 19152cb1 [0,0,0,-62067,5951090] 2 [89:1064:1] 19152cb2 [0,0,0,-67107,4927970] 2 [71:722:1]

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