Cremona's table of elliptic curves

103360 = 2⁶ · 5 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
103360a (2 curves)	1	2+ 5+ 17+ 19+	2+  0 5+  2 -6  2 17+ 19+
Curve Equation t Generators 103360a1 [0,0,0,-668,-6192] 2 [-16:20:1] 103360a2 [0,0,0,-2188,32112] 2 [53:255:1]
103360b (1 curve)	1	2+ 5+ 17+ 19+	2+  1 5+  4  2  2 17+ 19+
Curve Equation t Generators 103360b1 [0,1,0,-1221,-17395] 1 [145762652:954375625:2248091]
103360c (1 curve)	1	2+ 5+ 17+ 19+	2+ -1 5+  4  5 -4 17+ 19+
Curve Equation t Generators 103360c1 [0,-1,0,25919,-2818879] 1 [118019:546560:1331]
103360d (2 curves)	1	2+ 5+ 17+ 19+	2+  2 5+ -4  4  2 17+ 19+
Curve Equation t Generators 103360d1 [0,-1,0,-541,5805] 2 [90:255:8] 103360d2 [0,-1,0,-9041,333905] 2 [73:240:1]
103360e (2 curves)	1	2+ 5+ 17+ 19+	2+ -2 5+ -4  4  0 17+ 19+
Curve Equation t Generators 103360e1 [0,1,0,-1901,-32525] 2 [-26:1:1] 103360e2 [0,1,0,-1521,-45521] 2 [50:77:1]
103360f (2 curves)	2	2+ 5+ 17+ 19-	2+  0 5+  0  0 -4 17+ 19-
Curve Equation t Generators 103360f1 [0,0,0,-88,168] 2 [-7:21:1]&[1:9:1] 103360f2 [0,0,0,292,1232] 2 [13:85:1]&[76:680:1]
103360g (2 curves)	0	2+ 5+ 17+ 19-	2+  0 5+  2 -2 -2 17+ 19-
Curve Equation t 103360g1 [0,0,0,-8854268,10140914192] 2 103360g2 [0,0,0,-8855788,10137258288] 2
103360h (1 curve)	0	2+ 5+ 17+ 19-	2+  0 5+ -3 -2  3 17+ 19-
Curve Equation t 103360h1 [0,0,0,-668,-6728] 1
103360i (1 curve)	0	2+ 5+ 17+ 19-	2+  1 5+  4 -2 -6 17+ 19-
Curve Equation t 103360i1 [0,1,0,-235141,-47136605] 1
103360j (2 curves)	0	2+ 5+ 17+ 19-	2+  2 5+ -4  4  6 17+ 19-
Curve Equation t 103360j1 [0,-1,0,-13761,624065] 2 103360j2 [0,-1,0,-7681,1172481] 2
103360k (2 curves)	0	2+ 5+ 17+ 19-	2+ -2 5+  0  4  0 17+ 19-
Curve Equation t 103360k1 [0,1,0,-39021,-5492045] 2 103360k2 [0,1,0,-761521,-255910545] 2
103360l (4 curves)	0	2+ 5+ 17- 19+	2+  0 5+  4  4 -6 17- 19+
Curve Equation t 103360l1 [0,0,0,-175688,-27298552] 2 103360l2 [0,0,0,-2782108,-1786110768] 4 103360l3 [0,0,0,-2753228,-1825006352] 2 103360l4 [0,0,0,-44513708,-114311197008] 2
103360m (1 curve)	0	2+ 5+ 17- 19+	2+  2 5+ -3  2 -1 17- 19+
Curve Equation t 103360m1 [0,-1,0,119,1425] 1
103360n (1 curve)	0	2+ 5+ 17- 19+	2+ -3 5+  4  1  0 17- 19+
Curve Equation t 103360n1 [0,0,0,-11788,2242288] 1
103360o (4 curves)	1	2+ 5+ 17- 19-	2+  0 5+  4  0  2 17- 19-
Curve Equation t Generators 103360o1 [0,0,0,-204908,35701168] 2 [244:480:1] 103360o2 [0,0,0,-210028,33823152] 4 [5052:28000:27] 103360o3 [0,0,0,252052,161911728] 2 [692:25840:1] 103360o4 [0,0,0,-754028,-214458448] 2 [34726:6469120:1]
103360p (1 curve)	1	2+ 5+ 17- 19-	2+ -1 5+ -2 -2  2 17- 19-
Curve Equation t Generators 103360p1 [0,-1,0,-1,35] 1 [-2:5:1]
103360q (1 curve)	1	2+ 5+ 17- 19-	2+  2 5+ -1  6 -1 17- 19-
Curve Equation t Generators 103360q1 [0,-1,0,799,-15895] 1 [16:27:1]
103360r (1 curve)	1	2+ 5+ 17- 19-	2+ -2 5+ -5  2  5 17- 19-
Curve Equation t Generators 103360r1 [0,1,0,-13281,721639] 1 [-38:1083:1]
103360s (2 curves)	0	2+ 5- 17+ 19+	2+  0 5- -2 -2 -2 17+ 19+
Curve Equation t 103360s1 [0,0,0,-4197932,-3303893456] 2 103360s2 [0,0,0,-5754412,-632351184] 2
103360t (2 curves)	0	2+ 5- 17+ 19+	2+  0 5- -2 -2 -2 17+ 19+
Curve Equation t 103360t1 [0,0,0,-97687,-8149116] 2 103360t2 [0,0,0,-1425812,-655211616] 2
103360u (2 curves)	0	2+ 5- 17+ 19+	2+ -1 5- -4  3  4 17+ 19+
Curve Equation t 103360u1 [0,-1,0,1055,-23455] 1 103360u2 [0,-1,0,-41505,-3249503] 1
103360v (2 curves)	1	2+ 5- 17+ 19-	2+  0 5-  2  2 -2 17+ 19-
Curve Equation t Generators 103360v1 [0,0,0,-97687,8149116] 2 [1352:48450:1] 103360v2 [0,0,0,-1425812,655211616] 2 [-748:36100:1]
103360w (2 curves)	1	2+ 5- 17+ 19-	2+  0 5-  2 -2  2 17+ 19-
Curve Equation t Generators 103360w1 [0,0,0,-7052,-167696] 2 [-27:55:1] 103360w2 [0,0,0,-104332,-12969744] 2 [8040:720324:1]
103360x (2 curves)	1	2+ 5- 17+ 19-	2+  0 5- -2  0 -4 17+ 19-
Curve Equation t Generators 103360x1 [0,0,0,-1952,-33176] 2 [145:1653:1] 103360x2 [0,0,0,-2332,-19344] 2 [-38:120:1]
103360y (2 curves)	1	2+ 5- 17+ 19-	2+  2 5- -4  0  2 17+ 19-
Curve Equation t Generators 103360y1 [0,-1,0,-465,-2863] 2 [-16:15:1] 103360y2 [0,-1,0,1055,-18975] 2 [627:15708:1]
103360z (1 curve)	1	2+ 5- 17+ 19-	2+ -2 5-  1  2  1 17+ 19-
Curve Equation t Generators 103360z1 [0,1,0,-305,1975] 1 [10:5:1]
103360ba (1 curve)	1	2+ 5- 17+ 19-	2+ -3 5-  4  3 -4 17+ 19-
Curve Equation t Generators 103360ba1 [0,0,0,-124012,-19048016] 1 [4358:286720:1]
103360bb (2 curves)	1	2+ 5- 17- 19+	2+  0 5-  0  6  2 17- 19+
Curve Equation t Generators 103360bb1 [0,0,0,-227,-15596] 2 [48:290:1] 103360bb2 [0,0,0,-10852,-432096] 2 [1234:10005:8]
103360bc (1 curve)	1	2+ 5- 17- 19+	2+  0 5-  1 -2  1 17- 19+
Curve Equation t Generators 103360bc1 [0,0,0,-1324052,-588333496] 1 [1933:63835:1]
103360bd (4 curves)	1	2+ 5- 17- 19+	2+  0 5- -4 -4  2 17- 19+
Curve Equation t Generators 103360bd1 [0,0,0,-44972,-176336] 2 [-147:1805:1] 103360bd2 [0,0,0,-507052,-138615504] 4 [-403:525:1] 103360bd3 [0,0,0,-300332,-252642256] 2 [113151:7249375:27] 103360bd4 [0,0,0,-8107052,-8884695504] 2 [125544:6271300:27]
103360be (1 curve)	1	2+ 5- 17- 19+	2+  0 5-  5  2 -1 17- 19+
Curve Equation t Generators 103360be1 [0,0,0,28,-24] 1 [2555:8387:343]
103360bf (1 curve)	1	2+ 5- 17- 19+	2+  1 5-  2  2  6 17- 19+
Curve Equation t Generators 103360bf1 [0,1,0,-1445,20675] 1 [-10:185:1]
103360bg (2 curves)	1	2+ 5- 17- 19+	2+ -1 5-  2 -6 -2 17- 19+
Curve Equation t Generators 103360bg1 [0,-1,0,-565,10925] 1 [20:85:1] 103360bg2 [0,-1,0,4875,-229523] 1 [84:875:1]
103360bh (2 curves)	1	2+ 5- 17- 19+	2+  2 5- -2  4  2 17- 19+
Curve Equation t Generators 103360bh1 [0,-1,0,-1445,1445] 2 [10302:42517:216] 103360bh2 [0,-1,0,5775,5777] 2 [152:2091:1]
103360bi (2 curves)	2	2+ 5- 17- 19-	2+  0 5-  0 -6  2 17- 19-
Curve Equation t Generators 103360bi1 [0,0,0,-227,15596] 2 [-8:130:1]&[52:380:1] 103360bi2 [0,0,0,-10852,432096] 2 [-115:399:1]&[37:285:1]
103360bj (2 curves)	2	2- 5+ 17+ 19+	2-  0 5+  0  0 -4 17+ 19+
Curve Equation t Generators 103360bj1 [0,0,0,-88,-168] 2 [-6:12:1]&[82:21:8] 103360bj2 [0,0,0,292,-1232] 2 [13:69:1]&[21:119:1]
103360bk (2 curves)	0	2- 5+ 17+ 19+	2-  0 5+ -2  2 -2 17+ 19+
Curve Equation t 103360bk1 [0,0,0,-8854268,-10140914192] 2 103360bk2 [0,0,0,-8855788,-10137258288] 2
103360bl (1 curve)	0	2- 5+ 17+ 19+	2-  0 5+  3  2  3 17+ 19+
Curve Equation t 103360bl1 [0,0,0,-668,6728] 1
103360bm (1 curve)	0	2- 5+ 17+ 19+	2- -1 5+ -4  2 -6 17+ 19+
Curve Equation t 103360bm1 [0,-1,0,-235141,47136605] 1
103360bn (2 curves)	0	2- 5+ 17+ 19+	2-  2 5+  0 -4  0 17+ 19+
Curve Equation t 103360bn1 [0,-1,0,-39021,5492045] 2 103360bn2 [0,-1,0,-761521,255910545] 2
103360bo (2 curves)	0	2- 5+ 17+ 19+	2- -2 5+  4 -4  6 17+ 19+
Curve Equation t 103360bo1 [0,1,0,-13761,-624065] 2 103360bo2 [0,1,0,-7681,-1172481] 2
103360bp (1 curve)	0	2- 5+ 17+ 19+	2-  3 5+  4  5  4 17+ 19+
Curve Equation t 103360bp1 [0,0,0,-16445548,-25670501872] 1
103360bq (2 curves)	1	2- 5+ 17+ 19-	2-  0 5+ -2  6  2 17+ 19-
Curve Equation t Generators 103360bq1 [0,0,0,-668,6192] 2 [26:80:1] 103360bq2 [0,0,0,-2188,-32112] 2 [-19:51:1]
103360br (1 curve)	1	2- 5+ 17+ 19-	2-  1 5+ -4 -5 -4 17+ 19-
Curve Equation t Generators 103360br1 [0,1,0,25919,2818879] 1 [15:1792:1]
103360bs (1 curve)	1	2- 5+ 17+ 19-	2- -1 5+ -4 -2  2 17+ 19-
Curve Equation t Generators 103360bs1 [0,-1,0,-1221,17395] 1 [78:625:1]
103360bt (2 curves)	1	2- 5+ 17+ 19-	2-  2 5+  4 -4  0 17+ 19-
Curve Equation t Generators 103360bt1 [0,-1,0,-1901,32525] 2 [-11:228:1] 103360bt2 [0,-1,0,-1521,45521] 2 [-240:6517:27]
103360bu (2 curves)	1	2- 5+ 17+ 19-	2- -2 5+  4 -4  2 17+ 19-
Curve Equation t Generators 103360bu1 [0,1,0,-541,-5805] 2 [522:3927:8] 103360bu2 [0,1,0,-9041,-333905] 2 [287:4560:1]
103360bv (1 curve)	1	2- 5+ 17+ 19-	2- -3 5+ -4 -5  4 17+ 19-
Curve Equation t Generators 103360bv1 [0,0,0,-16445548,25670501872] 1 [2374:-2888:1]
103360bw (4 curves)	1	2- 5+ 17- 19+	2-  0 5+ -4  0  2 17- 19+
Curve Equation t Generators 103360bw1 [0,0,0,-204908,-35701168] 2 [796:17480:1] 103360bw2 [0,0,0,-210028,-33823152] 4 [22178:1150713:8] 103360bw3 [0,0,0,252052,-161911728] 2 [464:7412:1] 103360bw4 [0,0,0,-754028,214458448] 2 [-806:17280:1]
103360bx (1 curve)	1	2- 5+ 17- 19+	2-  1 5+  2  2  2 17- 19+
Curve Equation t Generators 103360bx1 [0,1,0,-1,-35] 1 [84:35:27]
103360by (1 curve)	1	2- 5+ 17- 19+	2-  2 5+  5 -2  5 17- 19+
Curve Equation t Generators 103360by1 [0,-1,0,-13281,-721639] 1 [23739224434545208600008148803175064:776194364513304215927042256193517445:21920818555378311979262320278901]
103360bz (1 curve)	1	2- 5+ 17- 19+	2- -2 5+  1 -6 -1 17- 19+
Curve Equation t Generators 103360bz1 [0,1,0,799,15895] 1 [34:289:1]
103360ca (4 curves)	2	2- 5+ 17- 19-	2-  0 5+ -4 -4 -6 17- 19-
Curve Equation t Generators 103360ca1 [0,0,0,-175688,27298552] 2 [2642:18411:8]&[202:228:1] 103360ca2 [0,0,0,-2782108,1786110768] 4 [-1774:33744:1]&[981:-969:1] 103360ca3 [0,0,0,-2753228,1825006352] 2 [-224:49300:1]&[677:16473:1] 103360ca4 [0,0,0,-44513708,114311197008] 2 [3888:3876:1]&[53136:12156276:1]
103360cb (1 curve)	0	2- 5+ 17- 19-	2- -2 5+  3 -2 -1 17- 19-
Curve Equation t 103360cb1 [0,1,0,119,-1425] 1
103360cc (1 curve)	0	2- 5+ 17- 19-	2-  3 5+ -4 -1  0 17- 19-
Curve Equation t 103360cc1 [0,0,0,-11788,-2242288] 1
103360cd (2 curves)	1	2- 5- 17+ 19+	2-  0 5-  2  0 -4 17+ 19+
Curve Equation t Generators 103360cd1 [0,0,0,-1952,33176] 2 [-50:76:1] 103360cd2 [0,0,0,-2332,19344] 2 [-51:75:1]
103360ce (2 curves)	1	2- 5- 17+ 19+	2-  0 5- -2  2  2 17+ 19+
Curve Equation t Generators 103360ce1 [0,0,0,-7052,167696] 2 [77:285:1] 103360ce2 [0,0,0,-104332,12969744] 2 [98:1920:1]
103360cf (1 curve)	1	2- 5- 17+ 19+	2- -1 5- -4  5  4 17+ 19+
Curve Equation t Generators 103360cf1 [0,-1,0,-65,-383] 1 [17:56:1]
103360cg (1 curve)	1	2- 5- 17+ 19+	2-  2 5- -1 -2  1 17+ 19+
Curve Equation t Generators 103360cg1 [0,-1,0,-305,-1975] 1 [880:26085:1]
103360ch (2 curves)	1	2- 5- 17+ 19+	2- -2 5-  4  0  2 17+ 19+
Curve Equation t Generators 103360ch1 [0,1,0,-465,2863] 2 [-9:80:1] 103360ch2 [0,1,0,1055,18975] 2 [10:175:1]
103360ci (1 curve)	1	2- 5- 17+ 19+	2-  3 5- -4 -3 -4 17+ 19+
Curve Equation t Generators 103360ci1 [0,0,0,-124012,19048016] 1 [5214:-40960:27]
103360cj (2 curves)	0	2- 5- 17+ 19-	2-  0 5-  2  2 -2 17+ 19-
Curve Equation t 103360cj1 [0,0,0,-4197932,3303893456] 2 103360cj2 [0,0,0,-5754412,632351184] 2
103360ck (2 curves)	0	2- 5- 17+ 19-	2-  1 5-  4 -3  4 17+ 19-
Curve Equation t 103360ck1 [0,1,0,1055,23455] 1 103360ck2 [0,1,0,-41505,3249503] 1
103360cl (1 curve)	0	2- 5- 17+ 19-	2-  1 5-  4 -5  4 17+ 19-
Curve Equation t 103360cl1 [0,1,0,-65,383] 1
103360cm (2 curves)	0	2- 5- 17- 19+	2-  2 5-  2 -2 -2 17- 19+
Curve Equation t 103360cm1 [0,-1,0,340,1850] 2 103360cm2 [0,-1,0,-1785,18425] 2
103360cn (1 curve)	1	2- 5- 17- 19-	2-  0 5- -1  2  1 17- 19-
Curve Equation t Generators 103360cn1 [0,0,0,-1324052,588333496] 1 [2997:153425:1]
103360co (4 curves)	1	2- 5- 17- 19-	2-  0 5-  4  4  2 17- 19-
Curve Equation t Generators 103360co1 [0,0,0,-44972,176336] 2 [-43:1425:1] 103360co2 [0,0,0,-507052,138615504] 4 [330:2688:1] 103360co3 [0,0,0,-300332,252642256] 2 [976:29820:1] 103360co4 [0,0,0,-8107052,8884695504] 2 [-22:95200:1]
103360cp (1 curve)	1	2- 5- 17- 19-	2-  0 5- -5 -2 -1 17- 19-
Curve Equation t Generators 103360cp1 [0,0,0,28,24] 1 [5:17:1]
103360cq (2 curves)	1	2- 5- 17- 19-	2-  1 5- -2  6 -2 17- 19-
Curve Equation t Generators 103360cq1 [0,1,0,-565,-10925] 1 [30:5:1] 103360cq2 [0,1,0,4875,229523] 1 [166:2375:1]
103360cr (1 curve)	1	2- 5- 17- 19-	2- -1 5- -2 -2  6 17- 19-
Curve Equation t Generators 103360cr1 [0,-1,0,-1445,-20675] 1 [6420:97435:27]
103360cs (2 curves)	1	2- 5- 17- 19-	2- -2 5-  2 -4  2 17- 19-
Curve Equation t Generators 103360cs1 [0,1,0,-1445,-1445] 2 [-17:136:1] 103360cs2 [0,1,0,5775,-5777] 2 [18:323:1]
103360ct (2 curves)	1	2- 5- 17- 19-	2- -2 5- -2  2 -2 17- 19-
Curve Equation t Generators 103360ct1 [0,1,0,340,-1850] 2 [73:646:1] 103360ct2 [0,1,0,-1785,-18425] 2 [-30:95:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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