Cremona's table of elliptic curves

89376 = 2⁵ · 3 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
89376a (1 curve)	1	2+ 3+ 7+ 19+	2+ 3+ -2 7+ -5  4  3 19+
Curve Equation t Generators 89376a1 [0,-1,0,131,-1931] 1 [19:-84:1]
89376b (1 curve)	1	2+ 3+ 7+ 19+	2+ 3+ -2 7+ -5 -4 -5 19+
Curve Equation t Generators 89376b1 [0,-1,0,-1140589,469304389] 1 [595:-972:1]
89376c (1 curve)	0	2+ 3+ 7+ 19-	2+ 3+ -2 7+  1 -4 -1 19-
Curve Equation t 89376c1 [0,-1,0,812949331,-16261354147611] 1
89376d (2 curves)	2	2+ 3+ 7- 19+	2+ 3+  0 7-  0 -6  0 19+
Curve Equation t Generators 89376d1 [0,-1,0,-198,-972] 2 [-8:6:1]&[19:42:1] 89376d2 [0,-1,0,-513,3249] 2 [-19:76:1]&[-9:84:1]
89376e (2 curves)	2	2+ 3+ 7- 19+	2+ 3+  0 7-  2 -4  0 19+
Curve Equation t Generators 89376e1 [0,-1,0,-3838,-89984] 2 [75:196:1]&[1335:48706:1] 89376e2 [0,-1,0,-5553,225] 2 [-72:147:1]&[-37:392:1]
89376f (1 curve)	0	2+ 3+ 7- 19+	2+ 3+  1 7- -5 -4  3 19+
Curve Equation t 89376f1 [0,-1,0,-73565,-10424427] 1
89376g (1 curve)	2	2+ 3+ 7- 19+	2+ 3+ -1 7- -4  0 -3 19+
Curve Equation t Generators 89376g1 [0,-1,0,-541,-5291] 1 [28:27:1]&[35:132:1]
89376h (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  2 7-  2 -2 -4 19+
Curve Equation t 89376h1 [0,-1,0,-702,-1392] 2 89376h2 [0,-1,0,2728,-13740] 2
89376i (1 curve)	0	2+ 3+ 7- 19+	2+ 3+  2 7-  5  4  5 19+
Curve Equation t 89376i1 [0,-1,0,-23277,1374885] 1
89376j (2 curves)	2	2+ 3+ 7- 19+	2+ 3+ -4 7-  2 -6  0 19+
Curve Equation t Generators 89376j1 [0,-1,0,-39510,3497796] 2 [-121:2548:1]&[110:686:1] 89376j2 [0,-1,0,-658625,205948401] 2 [413:2052:1]&[-233:18620:1]
89376k (1 curve)	1	2+ 3+ 7- 19-	2+ 3+  2 7- -1  4  1 19-
Curve Equation t Generators 89376k1 [0,-1,0,16590803,-47413935995] 1 [506747299:11407412951460:1]
89376l (4 curves)	1	2+ 3+ 7- 19-	2+ 3+  2 7- -4 -2 -2 19-
Curve Equation t Generators 89376l1 [0,-1,0,-6582,200880] 4 [432:8820:1] 89376l2 [0,-1,0,2728,714792] 2 [3418:71415:8] 89376l3 [0,-1,0,-16872,-568812] 2 [-44:294:1] 89376l4 [0,-1,0,-104337,13006785] 2 [58655:1024296:125]
89376m (1 curve)	0	2+ 3- 7+ 19+	2+ 3- -2 7+ -1 -4 -1 19+
Curve Equation t 89376m1 [0,1,0,812949331,16261354147611] 1
89376n (1 curve)	1	2+ 3- 7+ 19-	2+ 3-  1 7+ -4  0  3 19-
Curve Equation t Generators 89376n1 [0,1,0,-26525,1867851] 1 [-131:1764:1]
89376o (1 curve)	1	2+ 3- 7+ 19-	2+ 3- -2 7+  5 -4 -5 19-
Curve Equation t Generators 89376o1 [0,1,0,-1140589,-469304389] 1 [1241:5292:1]
89376p (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  0  4 -2 19+
Curve Equation t Generators 89376p1 [0,1,0,-6778,-159328] 2 [149:1470:1] 89376p2 [0,1,0,17232,-1014084] 2 [3258:68685:8]
89376q (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  4 -4  2 19+
Curve Equation t Generators 89376q1 [0,1,0,-257658,21515136] 2 [-15126670200:-969957773596:139798359] 89376q2 [0,1,0,918832,164105724] 2 [1114118473863888151269:50712807430969052584978:1009712274191458083]
89376r (1 curve)	1	2+ 3- 7- 19+	2+ 3-  2 7-  1  4  1 19+
Curve Equation t Generators 89376r1 [0,1,0,16590803,47413935995] 1 [50585:11416140:1]
89376s (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7-  4 -2 -2 19+
Curve Equation t Generators 89376s1 [0,1,0,-6582,-200880] 4 [945009:33969250:729] 89376s2 [0,1,0,2728,-714792] 2 [5182:373086:1] 89376s3 [0,1,0,-16872,568812] 2 [20786458119202:-99039698710875:170584511336] 89376s4 [0,1,0,-104337,-13006785] 2 [1572141042414:55058954363875:1197770328]
89376t (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7- -4 -2 -2 19+
Curve Equation t Generators 89376t1 [0,1,0,-5602,-161680] 4 [1136:38220:1] 89376t2 [0,1,0,-1192,-405112] 2 [9082:305955:8] 89376t3 [0,1,0,-10257,140895] 2 [-54:735:1] 89376t4 [0,1,0,-89392,-10317028] 2 [143995:4704882:125]
89376u (2 curves)	1	2+ 3- 7- 19+	2+ 3- -4 7-  2 -2 -8 19+
Curve Equation t Generators 89376u1 [0,1,0,-607527790,-7458602348716] 2 [4342570:456983262:125] 89376u2 [0,1,0,-10494161505,-413749814866641] 2 [139743:29132460:1]
89376v (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7-  0  0  2 19-
Curve Equation t 89376v1 [0,1,0,-898,10016] 2 89376v2 [0,1,0,-408,21384] 2
89376w (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7-  0  6  0 19-
Curve Equation t 89376w1 [0,1,0,-9718,352820] 2 89376w2 [0,1,0,-25153,-1064113] 2
89376x (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7- -2 -4  0 19-
Curve Equation t 89376x1 [0,1,0,-3838,89984] 2 89376x2 [0,1,0,-5553,-225] 2
89376y (2 curves)	0	2+ 3- 7- 19-	2+ 3-  2 7- -2 -2 -4 19-
Curve Equation t 89376y1 [0,1,0,-702,1392] 2 89376y2 [0,1,0,2728,13740] 2
89376z (1 curve)	0	2+ 3- 7- 19-	2+ 3-  2 7- -5  4  5 19-
Curve Equation t 89376z1 [0,1,0,-23277,-1374885] 1
89376ba (1 curve)	0	2+ 3- 7- 19-	2+ 3-  2 7- -5 -4 -3 19-
Curve Equation t 89376ba1 [0,1,0,6403,649515] 1
89376bb (1 curve)	0	2+ 3- 7- 19-	2+ 3- -3 7- -3  0 -1 19-
Curve Equation t 89376bb1 [0,1,0,-56317,-5163061] 1
89376bc (2 curves)	0	2+ 3- 7- 19-	2+ 3- -4 7-  4 -4  6 19-
Curve Equation t 89376bc1 [0,1,0,-73810,-7730416] 2 89376bc2 [0,1,0,-49800,-12820536] 2
89376bd (1 curve)	0	2- 3+ 7+ 19+	2- 3+  1 7+  4  0  3 19+
Curve Equation t 89376bd1 [0,-1,0,-26525,-1867851] 1
89376be (1 curve)	0	2- 3+ 7+ 19+	2- 3+ -1 7+  3 -4  2 19+
Curve Equation t 89376be1 [0,-1,0,-227866,-45735836] 1
89376bf (1 curve)	1	2- 3+ 7+ 19-	2- 3+  1 7+  4  0  7 19-
Curve Equation t Generators 89376bf1 [0,-1,0,915,1836549] 1 [180:-2793:1]
89376bg (1 curve)	1	2- 3+ 7+ 19-	2- 3+ -1 7+ -3  0  2 19-
Curve Equation t Generators 89376bg1 [0,-1,0,-16,5272] 1 [9:76:1]
89376bh (1 curve)	1	2- 3+ 7+ 19-	2- 3+  3 7+  1  4  2 19-
Curve Equation t Generators 89376bh1 [0,-1,0,-114,12132] 1 [-16:98:1]
89376bi (2 curves)	1	2- 3+ 7- 19+	2- 3+  0 7-  0  0  2 19+
Curve Equation t Generators 89376bi1 [0,-1,0,-898,-10016] 2 [159:1960:1] 89376bi2 [0,-1,0,-408,-21384] 2 [19805:245784:125]
89376bj (2 curves)	1	2- 3+ 7- 19+	2- 3+  0 7-  0  6  0 19+
Curve Equation t Generators 89376bj1 [0,-1,0,-9718,-352820] 2 [5423:399252:1] 89376bj2 [0,-1,0,-25153,1064113] 2 [-173:456:1]
89376bk (1 curve)	1	2- 3+ 7- 19+	2- 3+  1 7- -3  4 -2 19+
Curve Equation t Generators 89376bk1 [0,-1,0,-4650,-132012] 1 [104:706:1]
89376bl (1 curve)	1	2- 3+ 7- 19+	2- 3+  2 7-  5 -4 -3 19+
Curve Equation t Generators 89376bl1 [0,-1,0,6403,-649515] 1 [2855:152580:1]
89376bm (4 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7-  0  2  6 19+
Curve Equation t Generators 89376bm1 [0,-1,0,-1916014,1021422424] 4 [1764:55924:1] 89376bm2 [0,-1,0,-1832224,1114730968] 2 [18598734:606128461:10648] 89376bm3 [0,-1,0,-2000049,927017505] 2 [-883:44764:1] 89376bm4 [0,-1,0,-30655984,65341475284] 4 [239410521:1894272050:68921]
89376bn (2 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7- -6  2 -6 19+
Curve Equation t Generators 89376bn1 [0,-1,0,-114,-4332] 2 [26:98:1] 89376bn2 [0,-1,0,-4769,-124431] 2 [-40:27:1]
89376bo (1 curve)	1	2- 3+ 7- 19+	2- 3+ -3 7-  3  0 -1 19+
Curve Equation t Generators 89376bo1 [0,-1,0,-56317,5163061] 1 [139:36:1]
89376bp (2 curves)	1	2- 3+ 7- 19+	2- 3+ -4 7- -4 -4  6 19+
Curve Equation t Generators 89376bp1 [0,-1,0,-73810,7730416] 2 [138:392:1] 89376bp2 [0,-1,0,-49800,12820536] 2 [481:9996:1]
89376bq (2 curves)	0	2- 3+ 7- 19-	2- 3+  0 7-  0  4 -2 19-
Curve Equation t 89376bq1 [0,-1,0,-6778,159328] 2 89376bq2 [0,-1,0,17232,1014084] 2
89376br (2 curves)	2	2- 3+ 7- 19-	2- 3+  0 7-  2 -4 -8 19-
Curve Equation t Generators 89376br1 [0,-1,0,-301758,-63701784] 2 [1055:28126:1]&[2492:121052:1] 89376br2 [0,-1,0,-303473,-62939295] 2 [-337:972:1]&[-315:1140:1]
89376bs (2 curves)	0	2- 3+ 7- 19-	2- 3+  0 7- -4 -4  2 19-
Curve Equation t 89376bs1 [0,-1,0,-257658,-21515136] 2 89376bs2 [0,-1,0,918832,-164105724] 2
89376bt (1 curve)	0	2- 3+ 7- 19-	2- 3+  1 7-  3  0 -2 19-
Curve Equation t 89376bt1 [0,-1,0,-800,1806708] 1
89376bu (1 curve)	0	2- 3+ 7- 19-	2- 3+  1 7- -3  0  7 19-
Curve Equation t 89376bu1 [0,-1,0,915,-40347] 1
89376bv (1 curve)	2	2- 3+ 7- 19-	2- 3+ -1 7- -4  0 -7 19-
Curve Equation t Generators 89376bv1 [0,-1,0,19,5349] 1 [7:-76:1]&[23:132:1]
89376bw (2 curves)	0	2- 3+ 7- 19-	2- 3+  2 7-  2  6 -4 19-
Curve Equation t 89376bw1 [0,-1,0,-27223142,-54661733832] 2 89376bw2 [0,-1,0,-27219712,-54676200200] 2
89376bx (4 curves)	0	2- 3+ 7- 19-	2- 3+  2 7-  4 -2 -2 19-
Curve Equation t 89376bx1 [0,-1,0,-5602,161680] 4 89376bx2 [0,-1,0,-1192,405112] 2 89376bx3 [0,-1,0,-10257,-140895] 2 89376bx4 [0,-1,0,-89392,10317028] 2
89376by (4 curves)	0	2- 3+ 7- 19-	2- 3+ -2 7-  0  6 -2 19-
Curve Equation t 89376by1 [0,-1,0,-8597654,-9697355016] 4 89376by2 [0,-1,0,-7359424,-12589860296] 2 89376by3 [0,-1,0,-9847889,-6691039935] 4 89376by4 [0,-1,0,-137550464,-620882093292] 2
89376bz (4 curves)	0	2- 3+ 7- 19-	2- 3+ -2 7-  0  6 -2 19-
Curve Equation t 89376bz1 [0,-1,0,-2027734,-1100928296] 4 89376bz2 [0,-1,0,-515104,-2707341356] 4 89376bz3 [0,-1,0,-3619744,870616888] 2 89376bz4 [0,-1,0,-32364369,-70856986815] 2
89376ca (2 curves)	0	2- 3+ 7- 19-	2- 3+ -2 7- -6 -6  4 19-
Curve Equation t 89376ca1 [0,-1,0,-667494,209922840] 2 89376ca2 [0,-1,0,-499424,318025464] 2
89376cb (1 curve)	2	2- 3+ 7- 19-	2- 3+ -3 7- -1 -4 -2 19-
Curve Equation t Generators 89376cb1 [0,-1,0,-2,36] 1 [-1:6:1]&[0:6:1]
89376cc (2 curves)	0	2- 3+ 7- 19-	2- 3+  4 7-  6  0  4 19-
Curve Equation t 89376cc1 [0,-1,0,-9326,-54312] 2 89376cc2 [0,-1,0,-93361,10954273] 2
89376cd (2 curves)	0	2- 3+ 7- 19-	2- 3+ -4 7- -2 -2 -8 19-
Curve Equation t 89376cd1 [0,-1,0,-607527790,7458602348716] 2 89376cd2 [0,-1,0,-10494161505,413749814866641] 2
89376ce (1 curve)	1	2- 3- 7+ 19+	2- 3-  1 7+ -4  0  7 19+
Curve Equation t Generators 89376ce1 [0,1,0,915,-1836549] 1 [618817:2658468:4913]
89376cf (1 curve)	1	2- 3- 7+ 19+	2- 3- -1 7+  3  0  2 19+
Curve Equation t Generators 89376cf1 [0,1,0,-16,-5272] 1 [86:798:1]
89376cg (1 curve)	1	2- 3- 7+ 19+	2- 3-  3 7+ -1  4  2 19+
Curve Equation t Generators 89376cg1 [0,1,0,-114,-12132] 1 [822:3142:27]
89376ch (1 curve)	2	2- 3- 7+ 19-	2- 3- -1 7+ -3 -4  2 19-
Curve Equation t Generators 89376ch1 [0,1,0,-227866,45735836] 1 [-523:4704:1]&[-220:9234:1]
89376ci (1 curve)	0	2- 3- 7+ 19-	2- 3- -2 7+  5  4  3 19-
Curve Equation t 89376ci1 [0,1,0,131,1931] 1
89376cj (2 curves)	2	2- 3- 7- 19+	2- 3-  0 7- -2 -4 -8 19+
Curve Equation t Generators 89376cj1 [0,1,0,-301758,63701784] 2 [318:36:1]&[345:882:1] 89376cj2 [0,1,0,-303473,62939295] 2 [415:-2940:1]&[-473:10044:1]
89376ck (1 curve)	0	2- 3- 7- 19+	2- 3-  1 7-  3  0  7 19+
Curve Equation t 89376ck1 [0,1,0,915,40347] 1
89376cl (1 curve)	0	2- 3- 7- 19+	2- 3-  1 7- -3  0 -2 19+
Curve Equation t 89376cl1 [0,1,0,-800,-1806708] 1
89376cm (1 curve)	0	2- 3- 7- 19+	2- 3- -1 7-  4  0 -7 19+
Curve Equation t 89376cm1 [0,1,0,19,-5349] 1
89376cn (2 curves)	0	2- 3- 7- 19+	2- 3-  2 7- -2  6 -4 19+
Curve Equation t 89376cn1 [0,1,0,-27223142,54661733832] 2 89376cn2 [0,1,0,-27219712,54676200200] 2
89376co (4 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  0  6 -2 19+
Curve Equation t 89376co1 [0,1,0,-8597654,9697355016] 4 89376co2 [0,1,0,-7359424,12589860296] 4 89376co3 [0,1,0,-9847889,6691039935] 2 89376co4 [0,1,0,-137550464,620882093292] 2
89376cp (4 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  0  6 -2 19+
Curve Equation t 89376cp1 [0,1,0,-2027734,1100928296] 4 89376cp2 [0,1,0,-515104,2707341356] 2 89376cp3 [0,1,0,-3619744,-870616888] 2 89376cp4 [0,1,0,-32364369,70856986815] 4
89376cq (2 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  6 -6  4 19+
Curve Equation t 89376cq1 [0,1,0,-667494,-209922840] 2 89376cq2 [0,1,0,-499424,-318025464] 2
89376cr (1 curve)	2	2- 3- 7- 19+	2- 3- -3 7-  1 -4 -2 19+
Curve Equation t Generators 89376cr1 [0,1,0,-2,-36] 1 [4:6:1]&[13:48:1]
89376cs (2 curves)	0	2- 3- 7- 19+	2- 3-  4 7- -6  0  4 19+
Curve Equation t 89376cs1 [0,1,0,-9326,54312] 2 89376cs2 [0,1,0,-93361,-10954273] 2
89376ct (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  0 -6  0 19-
Curve Equation t Generators 89376ct1 [0,1,0,-198,972] 2 [-12:42:1] 89376ct2 [0,1,0,-513,-3249] 2 [-15:36:1]
89376cu (1 curve)	1	2- 3- 7- 19-	2- 3-  1 7-  3  4 -2 19-
Curve Equation t Generators 89376cu1 [0,1,0,-4650,132012] 1 [66:342:1]
89376cv (1 curve)	1	2- 3- 7- 19-	2- 3-  1 7-  5 -4  3 19-
Curve Equation t Generators 89376cv1 [0,1,0,-73565,10424427] 1 [97:-2052:1]
89376cw (1 curve)	1	2- 3- 7- 19-	2- 3- -1 7-  4  0 -3 19-
Curve Equation t Generators 89376cw1 [0,1,0,-541,5291] 1 [17:36:1]
89376cx (4 curves)	1	2- 3- 7- 19-	2- 3- -2 7-  0  2  6 19-
Curve Equation t Generators 89376cx1 [0,1,0,-1916014,-1021422424] 4 [-802:120:1] 89376cx2 [0,1,0,-1832224,-1114730968] 2 [1991:55980:1] 89376cx3 [0,1,0,-2000049,-927017505] 4 [-1041:5292:1] 89376cx4 [0,1,0,-30655984,-65341475284] 2 [16403:1960980:1]
89376cy (2 curves)	1	2- 3- 7- 19-	2- 3- -2 7-  6  2 -6 19-
Curve Equation t Generators 89376cy1 [0,1,0,-114,4332] 2 [44:294:1] 89376cy2 [0,1,0,-4769,124431] 2 [10:279:1]
89376cz (2 curves)	1	2- 3- 7- 19-	2- 3- -4 7- -2 -6  0 19-
Curve Equation t Generators 89376cz1 [0,1,0,-39510,-3497796] 2 [366:5586:1] 89376cz2 [0,1,0,-658625,-205948401] 2 [-470:57:1]

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