Cremona's table of elliptic curves

40698 = 2 · 3² · 7 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
40698a (2 curves)	1	2+ 3+ 7+ 17+ 19+	2+ 3+ -2 7+  4  0 17+ 19+
Curve Equation t Generators 40698a1 [1,-1,0,-1098888,443329856] 2 [565:1324:1] 40698a2 [1,-1,0,-856968,643688000] 2 [2357:107052:1]
40698b (2 curves)	0	2+ 3+ 7+ 17+ 19-	2+ 3+ -2 7+  4  6 17+ 19-
Curve Equation t 40698b1 [1,-1,0,2442,57140] 2 40698b2 [1,-1,0,-15918,582236] 2
40698c (1 curve)	2	2+ 3+ 7+ 17- 19+	2+ 3+ -1 7+ -5  3 17- 19+
Curve Equation t Generators 40698c1 [1,-1,0,840,-148158] 1 [462:2175:8]&[69:450:1]
40698d (2 curves)	0	2+ 3+ 7- 17+ 19+	2+ 3+ -2 7-  0 -2 17+ 19+
Curve Equation t 40698d1 [1,-1,0,-136263,-20775235] 2 40698d2 [1,-1,0,-2225223,-1277075779] 2
40698e (2 curves)	2	2+ 3+ 7- 17+ 19+	2+ 3+ -4 7-  0  2 17+ 19+
Curve Equation t Generators 40698e1 [1,-1,0,-399,2989] 2 [-18:73:1]&[-13:83:1] 40698e2 [1,-1,0,-1239,-12971] 2 [101:890:1]&[-15:53:1]
40698f (1 curve)	1	2+ 3+ 7- 17+ 19-	2+ 3+ -1 7-  5  1 17+ 19-
Curve Equation t Generators 40698f1 [1,-1,0,-21945,-1245811] 1 [577:13051:1]
40698g (1 curve)	1	2+ 3+ 7- 17- 19+	2+ 3+  1 7- -3 -1 17- 19+
Curve Equation t Generators 40698g1 [1,-1,0,26796,-16126768] 1 [12279:249952:27]
40698h (2 curves)	1	2+ 3- 7+ 17+ 19-	2+ 3-  0 7+ -2 -6 17+ 19-
Curve Equation t Generators 40698h1 [1,-1,0,-10827,-379323] 2 [-74:149:1] 40698h2 [1,-1,0,16533,-2004507] 2 [97:662:1]
40698i (1 curve)	1	2+ 3- 7+ 17+ 19-	2+ 3- -3 7+  4  6 17+ 19-
Curve Equation t Generators 40698i1 [1,-1,0,-756,8208] 1 [16:-12:1]
40698j (1 curve)	1	2+ 3- 7+ 17- 19+	2+ 3-  2 7+ -2  0 17- 19+
Curve Equation t Generators 40698j1 [1,-1,0,-1636416,-805321440] 1 [788315814198642435873:-269088640136482767905190:6784651563887231]
40698k (1 curve)	1	2+ 3- 7- 17+ 19+	2+ 3-  2 7-  2  4 17+ 19+
Curve Equation t Generators 40698k1 [1,-1,0,-10206,400540] 1 [83:305:1]
40698l (4 curves)	0	2+ 3- 7- 17+ 19-	2+ 3-  2 7- -4 -2 17+ 19-
Curve Equation t 40698l1 [1,-1,0,-322386,38736980] 2 40698l2 [1,-1,0,-4481106,3651001172] 4 40698l3 [1,-1,0,-3810786,4780490372] 2 40698l4 [1,-1,0,-71690946,233656515620] 2
40698m (4 curves)	0	2+ 3- 7- 17- 19+	2+ 3-  2 7-  0  6 17- 19+
Curve Equation t 40698m1 [1,-1,0,-28386,-1831100] 2 40698m2 [1,-1,0,-37206,-591008] 4 40698m3 [1,-1,0,144864,-4778618] 2 40698m4 [1,-1,0,-360396,82856650] 2
40698n (2 curves)	0	2+ 3- 7- 17- 19+	2+ 3-  2 7-  0 -6 17- 19+
Curve Equation t 40698n1 [1,-1,0,-14639751,14440349245] 2 40698n2 [1,-1,0,41393529,98344582717] 2
40698o (2 curves)	1	2+ 3- 7- 17- 19-	2+ 3-  0 7-  0  0 17- 19-
Curve Equation t Generators 40698o1 [1,-1,0,-2021157,1051014933] 2 [1338:-27885:1] 40698o2 [1,-1,0,1436283,4272657525] 2 [309:-69045:1]
40698p (2 curves)	1	2+ 3- 7- 17- 19-	2+ 3-  0 7-  0 -4 17- 19-
Curve Equation t Generators 40698p1 [1,-1,0,-187677,33327693] 1 [273:1407:1] 40698p2 [1,-1,0,-15468327,23419890207] 3 [2271:-1131:1]
40698q (1 curve)	1	2+ 3- 7- 17- 19-	2+ 3- -1 7-  3  5 17- 19-
Curve Equation t Generators 40698q1 [1,-1,0,-1874582550,31240033248244] 1 [24995:-13348:1]
40698r (1 curve)	1	2+ 3- 7- 17- 19-	2+ 3- -1 7- -4 -2 17- 19-
Curve Equation t Generators 40698r1 [1,-1,0,5970,-738568] 1 [74:286:1]
40698s (1 curve)	1	2+ 3- 7- 17- 19-	2+ 3-  2 7-  2  4 17- 19-
Curve Equation t Generators 40698s1 [1,-1,0,-5811,186839] 1 [-65:568:1]
40698t (4 curves)	1	2+ 3- 7- 17- 19-	2+ 3- -2 7- -4  2 17- 19-
Curve Equation t Generators 40698t1 [1,-1,0,-434313,117211405] 2 [-37:11561:1] 40698t2 [1,-1,0,-7069833,7237124365] 4 [-163:91652:1] 40698t3 [1,-1,0,-7190793,6976745869] 2 [1043:24188:1] 40698t4 [1,-1,0,-113117193,463092306061] 2 [165801:-82796:27]
40698u (2 curves)	1	2+ 3- 7- 17- 19-	2+ 3- -4 7-  2  2 17- 19-
Curve Equation t Generators 40698u1 [1,-1,0,-9819,325489] 2 [-97:647:1] 40698u2 [1,-1,0,-42309,-3020981] 2 [-135:533:1]
40698v (1 curve)	1	2+ 3- 7- 17- 19-	2+ 3- -4 7- -4 -4 17- 19-
Curve Equation t Generators 40698v1 [1,-1,0,91566,53954644] 1 [59:7688:1]
40698w (1 curve)	0	2- 3+ 7+ 17+ 19+	2- 3+  1 7+  5  3 17+ 19+
Curve Equation t 40698w1 [1,-1,1,7558,3992707] 1
40698x (2 curves)	1	2- 3+ 7+ 17- 19+	2- 3+  2 7+ -4  0 17- 19+
Curve Equation t Generators 40698x1 [1,-1,1,-122099,-16378925] 2 [-205:170:1] 40698x2 [1,-1,1,-95219,-23808557] 2 [467:5546:1]
40698y (2 curves)	0	2- 3+ 7+ 17- 19-	2- 3+  2 7+ -4  6 17- 19-
Curve Equation t 40698y1 [1,-1,1,271,-2207] 2 40698y2 [1,-1,1,-1769,-20975] 2
40698z (1 curve)	1	2- 3+ 7- 17+ 19+	2- 3+ -1 7-  3 -1 17+ 19+
Curve Equation t Generators 40698z1 [1,-1,1,2977,596295] 1 [-45:630:1]
40698ba (2 curves)	0	2- 3+ 7- 17- 19+	2- 3+  2 7-  0 -2 17- 19+
Curve Equation t 40698ba1 [1,-1,1,-1226369,562157713] 2 40698ba2 [1,-1,1,-20027009,34501073041] 2
40698bb (2 curves)	0	2- 3+ 7- 17- 19+	2- 3+  4 7-  0  2 17- 19+
Curve Equation t 40698bb1 [1,-1,1,-3593,-77111] 2 40698bb2 [1,-1,1,-11153,361369] 2
40698bc (1 curve)	1	2- 3+ 7- 17- 19-	2- 3+  1 7- -5  1 17- 19-
Curve Equation t Generators 40698bc1 [1,-1,1,-197507,33834403] 1 [223:-1030:1]
40698bd (1 curve)	1	2- 3- 7+ 17+ 19+	2- 3- -1 7+  3  1 17+ 19+
Curve Equation t Generators 40698bd1 [1,-1,1,-1598,-161737] 1 [13876:191827:64]
40698be (4 curves)	1	2- 3- 7+ 17+ 19+	2- 3-  2 7+  0 -2 17+ 19+
Curve Equation t Generators 40698be1 [1,-1,1,-151394,22710881] 4 [153:1687:1] 40698be2 [1,-1,1,-152114,22484513] 4 [-93:6031:1] 40698be3 [1,-1,1,3946,66306161] 2 [4515:2791711:343] 40698be4 [1,-1,1,-319694,-35833327] 2 [-191:4365:1]
40698bf (2 curves)	0	2- 3- 7+ 17+ 19-	2- 3-  0 7+  0 -4 17+ 19-
Curve Equation t 40698bf1 [1,-1,1,-2795,-53769] 2 40698bf2 [1,-1,1,1615,-210765] 2
40698bg (1 curve)	0	2- 3- 7+ 17- 19+	2- 3- -1 7+ -4  6 17- 19+
Curve Equation t 40698bg1 [1,-1,1,199762,38342845] 1
40698bh (4 curves)	0	2- 3- 7+ 17- 19+	2- 3- -2 7+  4 -2 17- 19+
Curve Equation t 40698bh1 [1,-1,1,1784569,1124012031] 4 40698bh2 [1,-1,1,-11532551,11218388991] 4 40698bh3 [1,-1,1,-65070311,-192846137025] 2 40698bh4 [1,-1,1,-171068711,861163235007] 2
40698bi (1 curve)	2	2- 3- 7+ 17- 19+	2- 3- -3 7+ -5 -1 17- 19+
Curve Equation t Generators 40698bi1 [1,-1,1,40441,782079] 1 [467:-11250:1]&[143:-3150:1]
40698bj (1 curve)	1	2- 3- 7+ 17- 19-	2- 3-  0 7+  4  0 17- 19-
Curve Equation t Generators 40698bj1 [1,-1,1,-5,263] 1 [54:149:8]
40698bk (1 curve)	1	2- 3- 7+ 17- 19-	2- 3-  2 7+  2  0 17- 19-
Curve Equation t Generators 40698bk1 [1,-1,1,-61557239,1561553461711] 1 [4573:1170602:1]
40698bl (2 curves)	0	2- 3- 7- 17+ 19+	2- 3-  0 7- -2 -2 17+ 19+
Curve Equation t 40698bl1 [1,-1,1,-113405,-14670075] 2 40698bl2 [1,-1,1,-106565,-16522347] 2
40698bm (1 curve)	2	2- 3- 7- 17+ 19+	2- 3- -3 7- -3 -7 17+ 19+
Curve Equation t Generators 40698bm1 [1,-1,1,-2489,61017] 1 [-55:198:1]&[35:108:1]
40698bn (1 curve)	0	2- 3- 7- 17+ 19+	2- 3- -3 7-  4 -2 17+ 19+
Curve Equation t 40698bn1 [1,-1,1,5161,3759] 1
40698bo (2 curves)	0	2- 3- 7- 17+ 19+	2- 3- -4 7-  2 -2 17+ 19+
Curve Equation t 40698bo1 [1,-1,1,-106869002,409649430345] 2 40698bo2 [1,-1,1,51162358,1517765326665] 2
40698bp (2 curves)	1	2- 3- 7- 17+ 19-	2- 3-  0 7-  0 -4 17+ 19-
Curve Equation t Generators 40698bp1 [1,-1,1,-3560,-179125] 1 [87:361:1] 40698bp2 [1,-1,1,30865,3935351] 3 [-93:550:1]
40698bq (1 curve)	1	2- 3- 7- 17+ 19-	2- 3-  2 7- -2 -4 17+ 19-
Curve Equation t Generators 40698bq1 [1,-1,1,-884,10711] 1 [13:-43:1]
40698br (4 curves)	1	2- 3- 7- 17+ 19-	2- 3- -2 7-  4  2 17+ 19-
Curve Equation t Generators 40698br1 [1,-1,1,8374,-147063] 2 [53:639:1] 40698br2 [1,-1,1,-37706,-1216119] 4 [-133:1263:1] 40698br3 [1,-1,1,-309866,65626377] 2 [365:843:1] 40698br4 [1,-1,1,-502826,-137031159] 2 [-405:447:1]

Data from Elliptic Curve Data by J. E. Cremona.
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