Cremona's table of elliptic curves

101745 = 3² · 5 · 7 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
101745a (1 curve)	0	3+ 5+ 7+ 17- 19+	0 3+ 5+ 7+  4 -4 17- 19+
Curve Equation t 101745a1 [0,0,1,-6858,-230776] 1
101745b (2 curves)	2	3+ 5+ 7- 17+ 19+	-1 3+ 5+ 7- -4 -2 17+ 19+
Curve Equation t Generators 101745b1 [1,-1,1,-128,666] 2 [6:-13:1]&[-66:295:8] 101745b2 [1,-1,1,-2123,38172] 2 [-37:273:1]&[-10:246:1]
101745c (2 curves)	1	3+ 5+ 7- 17+ 19-	0 3+ 5+ 7-  0 -4 17+ 19-
Curve Equation t Generators 101745c1 [0,0,1,-949938,367614159] 3 [-1107:7913:1] 101745c2 [0,0,1,4596372,1208922158] 1 [4402:326714:1]
101745d (2 curves)	1	3+ 5+ 7- 17- 19+	-1 3+ 5+ 7- -6 -2 17- 19+
Curve Equation t Generators 101745d1 [1,-1,1,-51788,5588542] 2 [92:-1310:1] 101745d2 [1,-1,1,-880283,318096856] 2 [586:-2089:1]
101745e (2 curves)	0	3+ 5+ 7- 17- 19-	-1 3+ 5+ 7- -6  6 17- 19-
Curve Equation t 101745e1 [1,-1,1,-1764023,-917886794] 2 101745e2 [1,-1,1,-28367918,-58148185718] 2
101745f (1 curve)	2	3+ 5- 7+ 17+ 19+	0 3+ 5- 7+ -4 -4 17+ 19+
Curve Equation t Generators 101745f1 [0,0,1,-762,8547] 1 [-13:127:1]&[-14:791:8]
101745g (2 curves)	1	3+ 5- 7- 17+ 19+	1 3+ 5- 7-  6 -2 17+ 19+
Curve Equation t Generators 101745g1 [1,-1,0,-5754,-205065] 2 [1638:20601:8] 101745g2 [1,-1,0,-97809,-11748762] 2 [1002:29424:1]
101745h (2 curves)	0	3+ 5- 7- 17+ 19-	1 3+ 5- 7-  6  6 17+ 19-
Curve Equation t 101745h1 [1,-1,0,-15876204,24798819635] 2 101745h2 [1,-1,0,-255311259,1570256325638] 2
101745i (2 curves)	0	3+ 5- 7- 17- 19+	1 3+ 5- 7-  4 -2 17- 19+
Curve Equation t 101745i1 [1,-1,0,-1149,-16840] 2 101745i2 [1,-1,0,-19104,-1011547] 2
101745j (2 curves)	1	3+ 5- 7- 17- 19-	0 3+ 5- 7-  0 -4 17- 19-
Curve Equation t Generators 101745j1 [0,0,1,510708,-44774895] 3 [173:6982:1] 101745j2 [0,0,1,-8549442,-9925582300] 1 [92130:9529565:8]
101745k (1 curve)	0	3- 5+ 7+ 17+ 19+	2 3- 5+ 7+  4  7 17+ 19+
Curve Equation t 101745k1 [0,0,1,17277,848169] 1
101745l (1 curve)	1	3- 5+ 7+ 17+ 19-	0 3- 5+ 7+ -5  0 17+ 19-
Curve Equation t Generators 101745l1 [0,0,1,-48,-3591] 1 [17:22:1]
101745m (6 curves)	1	3- 5+ 7+ 17+ 19-	1 3- 5+ 7+  4  6 17+ 19-
Curve Equation t Generators 101745m1 [1,-1,0,-519435,-957342200] 2 [4632005142524399120:-123874371510788515549:3132644243968000] 101745m2 [1,-1,0,-18097560,-29493670325] 4 [161469349590:35453031600205:3307949] 101745m3 [1,-1,0,-28250685,7327652800] 4 [-189803708292504277660:9769432425083855829830:43885747637116489] 101745m4 [1,-1,0,-289194435,-1892850930950] 2 [17408741411800312824:3622705315037257981033:347844227927552] 101745m5 [1,-1,0,111990690,58291368475] 2 [60635301510934543960082874026313655770:-13672442849193548760228744937946788750297:1256044289729323516865644024907000] 101745m6 [1,-1,0,-330942060,2312806779625] 2 [5516205953997440:-35461128464076745:551973381427]
101745n (4 curves)	1	3- 5+ 7+ 17+ 19-	1 3- 5+ 7+  4 -6 17+ 19-
Curve Equation t Generators 101745n1 [1,-1,0,1260,-49829] 2 [550:4513:8] 101745n2 [1,-1,0,-14985,-631400] 4 [-52:98:1] 101745n3 [1,-1,0,-56880,4555201] 2 [-40:2621:1] 101745n4 [1,-1,0,-233010,-43233485] 2 [74598:7156097:8]
101745o (1 curve)	1	3- 5+ 7+ 17+ 19-	-2 3- 5+ 7+  6  2 17+ 19-
Curve Equation t Generators 101745o1 [0,0,1,-21423,-1221206] 1 [188:1181:1]
101745p (2 curves)	1	3- 5+ 7- 17+ 19+	1 3- 5+ 7-  0  4 17+ 19+
Curve Equation t Generators 101745p1 [1,-1,0,7965,-97200] 2 [112:1424:1] 101745p2 [1,-1,0,-33930,-775899] 2 [-84:1257:1]
101745q (4 curves)	1	3- 5+ 7- 17+ 19+	-1 3- 5+ 7-  0  2 17+ 19+
Curve Equation t Generators 101745q1 [1,-1,1,-4478,394436] 2 [-44:732:1] 101745q2 [1,-1,1,-112523,14526722] 4 [-198:5485:1] 101745q3 [1,-1,1,-154418,2762606] 2 [-219:5212:1] 101745q4 [1,-1,1,-1799348,929460602] 2 [775:-374:1]
101745r (4 curves)	1	3- 5+ 7- 17+ 19+	-1 3- 5+ 7-  0  2 17+ 19+
Curve Equation t Generators 101745r1 [1,-1,1,46502437,64668829722] 2 [-130156598:-731566396677:2924207] 101745r2 [1,-1,1,-212913608,551125797306] 4 [-12658:1109931:1] 101745r3 [1,-1,1,-1709444903,-26825220488388] 2 [462904774761:176905113453141:2924207] 101745r4 [1,-1,1,-2867039033,59057605015836] 2 [159297:-60449959:1]
101745s (1 curve)	0	3- 5+ 7- 17+ 19-	0 3- 5+ 7-  5  0 17+ 19-
Curve Equation t 101745s1 [0,0,1,-138018,-19853411] 1
101745t (1 curve)	0	3- 5+ 7- 17+ 19-	1 3- 5+ 7-  3 -2 17+ 19-
Curve Equation t 101745t1 [1,-1,0,765,-22950] 1
101745u (1 curve)	2	3- 5+ 7- 17+ 19-	-2 3- 5+ 7- -2 -2 17+ 19-
Curve Equation t Generators 101745u1 [0,0,1,267,-18666] 1 [26:76:1]&[226:851:8]
101745v (2 curves)	0	3- 5+ 7- 17- 19+	-1 3- 5+ 7-  0  2 17- 19+
Curve Equation t 101745v1 [1,-1,1,-1128398,-461079444] 2 101745v2 [1,-1,1,-1127543,-461813718] 2
101745w (1 curve)	0	3- 5+ 7- 17- 19+	2 3- 5+ 7-  3  2 17- 19+
Curve Equation t 101745w1 [0,0,1,8817,-83507] 1
101745x (2 curves)	1	3- 5+ 7- 17- 19-	1 3- 5+ 7-  2 -6 17- 19-
Curve Equation t Generators 101745x1 [1,-1,0,-180,-2349] 2 [9652:112899:64] 101745x2 [1,-1,0,-4005,-96444] 2 [96:582:1]
101745y (2 curves)	1	3- 5+ 7- 17- 19-	-1 3- 5+ 7-  6 -2 17- 19-
Curve Equation t Generators 101745y1 [1,-1,1,-97421783,-398331827098] 2 [2742665430559487922:-333842737406177193008:134304254106931] 101745y2 [1,-1,1,-1591562408,-24438456827098] 2 [-5413611507474:-74795274385:234885113]
101745z (1 curve)	1	3- 5+ 7- 17- 19-	2 3- 5+ 7- -3 -2 17- 19-
Curve Equation t Generators 101745z1 [0,0,1,12777,964953] 1 [82:8375:8]
101745ba (4 curves)	0	3- 5- 7+ 17- 19+	1 3- 5- 7+  4  6 17- 19+
Curve Equation t 101745ba1 [1,-1,0,156,-2485] 2 101745ba2 [1,-1,0,-2049,-32032] 4 101745ba3 [1,-1,0,-7404,211085] 2 101745ba4 [1,-1,0,-31974,-2192617] 2
101745bb (4 curves)	2	3- 5- 7+ 17- 19+	-1 3- 5- 7+ -4 -2 17- 19+
Curve Equation t Generators 101745bb1 [1,-1,1,-2147,-37726] 2 [-26:13:1]&[94:717:1] 101745bb2 [1,-1,1,-2552,-22174] 4 [-322:1107:8]&[-36:166:1] 101745bb3 [1,-1,1,8923,-173644] 2 [49:591:1]&[109:1389:1] 101745bb4 [1,-1,1,-20507,1119764] 4 [-1314:2183:8]&[-126:1363:1]
101745bc (1 curve)	0	3- 5- 7+ 17- 19+	2 3- 5- 7+  0 -3 17- 19+
Curve Equation t 101745bc1 [0,0,1,-6068667,-5754251223] 1
101745bd (1 curve)	0	3- 5- 7- 17+ 19+	1 3- 5- 7-  3  2 17+ 19+
Curve Equation t 101745bd1 [1,-1,0,2646,-804335] 1
101745be (1 curve)	0	3- 5- 7- 17+ 19+	-1 3- 5- 7-  3  2 17+ 19+
Curve Equation t 101745be1 [1,-1,1,-141530702,-648037950546] 1
101745bf (2 curves)	0	3- 5- 7- 17+ 19+	-1 3- 5- 7-  6  2 17+ 19+
Curve Equation t 101745bf1 [1,-1,1,418,-5844] 2 101745bf2 [1,-1,1,-3407,-62454] 2
101745bg (1 curve)	2	3- 5- 7- 17+ 19+	-2 3- 5- 7-  0 -5 17+ 19+
Curve Equation t Generators 101745bg1 [0,0,1,-2757,55800] 1 [68:-428:1]&[-40:319:1]
101745bh (1 curve)	2	3- 5- 7- 17+ 19+	-2 3- 5- 7- -6 -2 17+ 19+
Curve Equation t Generators 101745bh1 [0,0,1,302163,64229490] 1 [-172:2677:1]&[-1166:33071:8]
101745bi (1 curve)	1	3- 5- 7- 17- 19+	0 3- 5- 7-  0 -3 17- 19+
Curve Equation t Generators 101745bi1 [0,0,1,-2442,-99950] 1 [80:465:1]
101745bj (4 curves)	1	3- 5- 7- 17- 19+	-1 3- 5- 7- -4 -2 17- 19+
Curve Equation t Generators 101745bj1 [1,-1,1,-10967,-430626] 2 [158:1248:1] 101745bj2 [1,-1,1,-23972,797046] 4 [-84:1529:1] 101745bj3 [1,-1,1,77773,5721504] 2 [87:3581:1] 101745bj4 [1,-1,1,-333797,74287536] 2 [344:111:1]
101745bk (3 curves)	0	3- 5- 7- 17- 19-	0 3- 5- 7-  0  5 17- 19-
Curve Equation t 101745bk1 [0,0,1,-2312112,-1353250098] 1 101745bk2 [0,0,1,-409422,-3493034955] 3 101745bk3 [0,0,1,3684318,94243165362] 3
101745bl (4 curves)	0	3- 5- 7- 17- 19-	1 3- 5- 7-  0  2 17- 19-
Curve Equation t 101745bl1 [1,-1,0,-97389,309386920] 2 101745bl2 [1,-1,0,-7478514,7795323895] 4 101745bl3 [1,-1,0,-13729689,-7131231770] 2 101745bl4 [1,-1,0,-119325339,501733272460] 2
101745bm (1 curve)	0	3- 5- 7- 17- 19-	-1 3- 5- 7-  1  2 17- 19-
Curve Equation t 101745bm1 [1,-1,1,-2552,-49044] 1
101745bn (4 curves)	2	3- 5- 7- 17- 19-	-1 3- 5- 7- -4 -2 17- 19-
Curve Equation t Generators 101745bn1 [1,-1,1,-51872,4916346] 4 [-244:1854:1]&[-1322:24597:8] 101745bn2 [1,-1,1,-847877,300711804] 4 [-988:13656:1]&[512:-1044:1] 101745bn3 [1,-1,1,-865832,287324556] 2 [-534:24704:1]&[-24:17564:1] 101745bn4 [1,-1,1,-13566002,19235456304] 2 [2127:-1044:1]&[17406:22723:8]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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