Cremona's table of elliptic curves

88445 = 5 · 7² · 19²

Class	r	Atkin-Lehner	Eigenvalues
88445a (1 curve)	1	5+ 7+ 19+	-1 -1 5+ 7+  3  5 -3 19+
Curve Equation t Generators 88445a1 [1,1,1,-13576676,-19260278052] 1 [4626:127904:1]
88445b (1 curve)	1	5+ 7+ 19+	-1 -1 5+ 7+ -5 -3  5 19+
Curve Equation t Generators 88445b1 [1,1,1,-1813491,939215584] 1 [1784:57295:1]
88445c (1 curve)	2	5+ 7+ 19-	0  0 5+ 7+  1 -2  1 19-
Curve Equation t Generators 88445c1 [0,0,1,-35378,-3108842] 1 [226:662:1]&[3458:63171:8]
88445d (2 curves)	0	5+ 7+ 19-	0  2 5+ 7+ -3  4  3 19-
Curve Equation t 88445d1 [0,-1,1,-4870371,-4135466924] 1 88445d2 [0,-1,1,-2393911,-8324770483] 1
88445e (1 curve)	2	5+ 7+ 19-	1  1 5+ 7+  3 -5 -3 19-
Curve Equation t Generators 88445e1 [1,0,1,-37609,2804071] 1 [53:953:1]&[718:2773:8]
88445f (1 curve)	0	5+ 7+ 19-	1  1 5+ 7+ -5  3  5 19-
Curve Equation t 88445f1 [1,0,1,-654670259,-6447317053943] 1
88445g (1 curve)	2	5+ 7+ 19-	-2 -2 5+ 7+ -3  4 -3 19-
Curve Equation t Generators 88445g1 [0,1,1,-5896,1768736] 1 [-103:1137:1]&[44:-1264:1]
88445h (1 curve)	0	5+ 7- 19+	1  1 5+ 7-  3  7  3 19+
Curve Equation t 88445h1 [1,0,1,-13004,525781] 1
88445i (1 curve)	0	5+ 7- 19+	1  3 5+ 7-  2  6 -3 19+
Curve Equation t 88445i1 [1,-1,0,-1255,17450] 1
88445j (1 curve)	0	5+ 7- 19+	1  3 5+ 7-  5 -1  7 19+
Curve Equation t 88445j1 [1,-1,0,-93025,-10895200] 1
88445k (1 curve)	0	5+ 7- 19+	-1 -3 5+ 7-  2 -6 -3 19+
Curve Equation t 88445k1 [1,-1,1,-453123,-117424044] 1
88445l (1 curve)	0	5+ 7- 19+	2 -2 5+ 7- -5  0  4 19+
Curve Equation t 88445l1 [0,1,1,-2128576,-202273879] 1
88445m (1 curve)	2	5+ 7- 19+	-2  0 5+ 7-  3  0  0 19+
Curve Equation t Generators 88445m1 [0,0,1,-300713,-63428332] 1 [-322:122:1]&[707:8795:1]
88445n (1 curve)	1	5+ 7- 19-	0  1 5+ 7- -3  1 -1 19-
Curve Equation t Generators 88445n1 [0,1,1,82549,88621726] 1 [10810:413311:8]
88445o (1 curve)	1	5+ 7- 19-	1 -1 5+ 7-  4  0  4 19-
Curve Equation t Generators 88445o1 [1,1,0,-884818,-1221340987] 1 [212863901110789006466798236:90031174920277824348000536361:1187093668733831807551]
88445p (4 curves)	1	5+ 7- 19-	-1  0 5+ 7- -4 -2 -2 19-
Curve Equation t Generators 88445p1 [1,-1,1,-250963,-48239838] 2 [16770:151807:27] 88445p2 [1,-1,1,-339408,-11163694] 4 [-204:7141:1] 88445p3 [1,-1,1,1341047,-89808988] 2 [7548:659563:1] 88445p4 [1,-1,1,-3434983,2439293476] 2 [-584:65452:1]
88445q (1 curve)	1	5+ 7- 19-	-1 -1 5+ 7-  0 -4  3 19-
Curve Equation t Generators 88445q1 [1,1,1,-44591,4634958] 1 [454:8617:1]
88445r (1 curve)	1	5+ 7- 19-	-1 -1 5+ 7-  3 -7  3 19-
Curve Equation t Generators 88445r1 [1,1,1,-36,-92] 1 [-4:4:1]
88445s (1 curve)	1	5+ 7- 19-	-1 -3 5+ 7-  5  1  7 19-
Curve Equation t Generators 88445s1 [1,-1,1,-258,1656] 1 [10:-3:1]
88445t (1 curve)	1	5+ 7- 19-	2  0 5+ 7-  3  0  0 19-
Curve Equation t Generators 88445t1 [0,0,1,-108557393,435054927473] 1 [28558590692224383437457439869178610:3028645991978399228186408994666112961:1754808359878431250845666661000]
88445u (1 curve)	1	5+ 7- 19-	2  0 5+ 7- -3  6 -3 19-
Curve Equation t Generators 88445u1 [0,0,1,2527,12003] 1 [114:1801:8]
88445v (1 curve)	1	5+ 7- 19-	2  0 5+ 7-  5 -2  1 19-
Curve Equation t Generators 88445v1 [0,0,1,-175952483,901512265463] 1 [5040250766:198714250761:830584]
88445w (2 curves)	1	5+ 7- 19-	2 -1 5+ 7- -3 -1 -3 19-
Curve Equation t Generators 88445w1 [0,-1,1,-3720586,15830195821] 1 [3742618:2559847755:8] 88445w2 [0,-1,1,-294704636,-2557489107699] 1 [33503368185431272158868587826494:22902949680344655846319298477663785:71595531730037213914100184]
88445x (1 curve)	1	5+ 7- 19-	2  3 5+ 7- -3  3 -3 19-
Curve Equation t Generators 88445x1 [0,0,1,-1715833,-865182257] 1 [1409884263331669808018055678:116707771981605013772194019357:198277325398017137976696]
88445y (1 curve)	1	5+ 7- 19-	2 -3 5+ 7-  1 -3 -3 19-
Curve Equation t Generators 88445y1 [0,0,1,-123823,28819803] 1 [2242:32125:8]
88445z (1 curve)	1	5+ 7- 19-	-2  2 5+ 7- -5  0  4 19-
Curve Equation t Generators 88445z1 [0,-1,1,-5896,31352] 1 [75:73:1]
88445ba (1 curve)	0	5- 7+ 19+	1 -1 5- 7+  3 -7 -3 19+
Curve Equation t 88445ba1 [1,1,0,-637172,-180980141] 1
88445bb (1 curve)	0	5- 7+ 19+	1 -3 5- 7+  5  1 -7 19+
Curve Equation t 88445bb1 [1,-1,0,-4558234,3746170063] 1
88445bc (1 curve)	1	5- 7+ 19-	1  1 5- 7+  4  0 -4 19-
Curve Equation t Generators 88445bc1 [1,0,1,-18058,3558181] 1 [125:1742:1]
88445bd (1 curve)	1	5- 7+ 19-	-1  1 5- 7+  3  7 -3 19-
Curve Equation t Generators 88445bd1 [1,0,0,-1765,26200] 1 [-45:145:1]
88445be (1 curve)	1	5- 7+ 19-	-1  3 5- 7+  5 -1 -7 19-
Curve Equation t Generators 88445be1 [1,-1,1,-12627,-542846] 1 [-3873129:2193437:59319]
88445bf (1 curve)	1	5- 7+ 19-	2  0 5- 7+ -3 -6  3 19-
Curve Equation t Generators 88445bf1 [0,0,1,123823,-4117115] 1 [2450:63255:8]
88445bg (1 curve)	1	5- 7+ 19-	2  0 5- 7+  5  2 -1 19-
Curve Equation t Generators 88445bg1 [0,0,1,-3590867,-2628315643] 1 [6043870:33378577:2744]
88445bh (2 curves)	1	5- 7- 19+	0  2 5- 7-  3 -2 -6 19+
Curve Equation t Generators 88445bh1 [0,-1,1,-1792485,-922790744] 1 [791600:704300152:1] 88445bh2 [0,-1,1,-5153395,3354639413] 1 [2469:75337:1]
88445bi (1 curve)	1	5- 7- 19+	1 -3 5- 7-  2 -6  3 19+
Curve Equation t Generators 88445bi1 [1,-1,0,-61504,-5862347] 1 [3726:63307:8]
88445bj (1 curve)	1	5- 7- 19+	-1  1 5- 7-  3 -5  3 19+
Curve Equation t Generators 88445bj1 [1,0,0,-277075,56112832] 1 [2406:-481:8]
88445bk (1 curve)	1	5- 7- 19+	-1  1 5- 7- -5  3 -5 19+
Curve Equation t Generators 88445bk1 [1,0,0,-37010,-2743525] 1 [-890:495:8]
88445bl (1 curve)	1	5- 7- 19+	-1  3 5- 7-  2  6  3 19+
Curve Equation t Generators 88445bl1 [1,-1,1,-22203012,40320853024] 1 [41183448:320533729:13824]
88445bm (1 curve)	0	5- 7- 19-	0  0 5- 7-  1  2 -1 19-
Curve Equation t 88445bm1 [0,0,1,-1733522,1066332720] 1
88445bn (3 curves)	2	5- 7- 19-	0  1 5- 7- -3  5 -3 19-
Curve Equation t Generators 88445bn1 [0,1,1,-23585,1538779] 1 [443:-8845:1]&[23:1004:1] 88445bn2 [0,1,1,153305,-3891744] 1 [30:857:1]&[690:20757:1] 88445bn3 [0,1,1,-2323155,-1426494191] 1 [3901:-221113:1]&[107018:12293851:8]
88445bo (1 curve)	0	5- 7- 19-	0 -1 5- 7- -3 -1  1 19-
Curve Equation t 88445bo1 [0,-1,1,1685,-258854] 1
88445bp (2 curves)	2	5- 7- 19-	0 -2 5- 7-  3  2 -6 19-
Curve Equation t Generators 88445bp1 [0,1,1,-4965,132969] 1 [-47:514:1]&[11:282:1] 88445bp2 [0,1,1,-14275,-493594] 1 [450:9187:1]&[-50:312:1]
88445bq (2 curves)	2	5- 7- 19-	0 -2 5- 7- -3 -4 -3 19-
Curve Equation t Generators 88445bq1 [0,1,1,-99395,12028356] 1 [-260:4512:1]&[158:541:1] 88445bq2 [0,1,1,-48855,24256509] 1 [-249:4587:1]&[671:-17148:1]
88445br (1 curve)	0	5- 7- 19-	1 -1 5- 7-  3  5  3 19-
Curve Equation t 88445br1 [1,1,0,-767,-8504] 1
88445bs (1 curve)	0	5- 7- 19-	1 -1 5- 7-  4  0  1 19-
Curve Equation t 88445bs1 [1,1,0,1131728,545153309] 1
88445bt (1 curve)	0	5- 7- 19-	1 -1 5- 7- -5 -3 -5 19-
Curve Equation t 88445bt1 [1,1,0,-13360617,18791116744] 1
88445bu (1 curve)	0	5- 7- 19-	2  3 5- 7-  1  3  3 19-
Curve Equation t 88445bu1 [0,0,1,-2527,-84023] 1
88445bv (1 curve)	0	5- 7- 19-	-2  2 5- 7- -3 -4  3 19-
Curve Equation t 88445bv1 [0,-1,1,-288920,-607254362] 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