Cremona's table of elliptic curves

66330 = 2 · 3² · 5 · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
66330a (2 curves)	0	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+  0 11+  0 -2 -4
Curve Equation t 66330a1 [1,-1,0,-2287020,-1330524800] 2 66330a2 [1,-1,0,-2474520,-1099412300] 2
66330b (2 curves)	0	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+  0 11+  4  2 -4
Curve Equation t 66330b1 [1,-1,0,-741840,241024256] 2 66330b2 [1,-1,0,-11801040,15606676736] 2
66330c (4 curves)	0	2+ 3+ 5+ 11+ 67-	2+ 3+ 5+ -4 11+  2  6 -4
Curve Equation t 66330c1 [1,-1,0,-469920,124106796] 6 66330c2 [1,-1,0,-469590,124289550] 6 66330c3 [1,-1,0,-493035,111241925] 2 66330c4 [1,-1,0,944445,637647101] 2
66330d (2 curves)	0	2+ 3+ 5+ 11- 67+	2+ 3+ 5+ -4 11-  4  6  4
Curve Equation t 66330d1 [1,-1,0,-22560,-467200] 2 66330d2 [1,-1,0,-292560,-60785200] 2
66330e (2 curves)	1	2+ 3+ 5+ 11- 67-	2+ 3+ 5+ -2 11- -6  6 -8
Curve Equation t Generators 66330e1 [1,-1,0,-4200,-100864] 2 [-40:64:1] 66330e2 [1,-1,0,1200,-346024] 2 [95:739:1]
66330f (2 curves)	0	2+ 3+ 5- 11+ 67+	2+ 3+ 5- -2 11+ -4 -2 -4
Curve Equation t 66330f1 [1,-1,0,-158076699,-764877004507] 2 66330f2 [1,-1,0,-2529169179,-48956383223515] 2
66330g (1 curve)	0	2+ 3+ 5- 11+ 67+	2+ 3+ 5-  4 11+  5  4 -1
Curve Equation t 66330g1 [1,-1,0,14106,3442508] 1
66330h (2 curves)	2	2+ 3+ 5- 11+ 67+	2+ 3+ 5- -4 11+  0  4 -4
Curve Equation t Generators 66330h1 [1,-1,0,-444,3600] 2 [-9:87:1]&[0:60:1] 66330h2 [1,-1,0,-7044,229320] 2 [49:-21:1]&[55:50:1]
66330i (1 curve)	0	2+ 3+ 5- 11- 67-	2+ 3+ 5-  4 11- -3  0  7
Curve Equation t 66330i1 [1,-1,0,981,-59515] 1
66330j (2 curves)	0	2+ 3- 5+ 11+ 67+	2+ 3- 5+  2 11+  4  6  4
Curve Equation t 66330j1 [1,-1,0,-368775,86288125] 2 66330j2 [1,-1,0,-359775,90692725] 2
66330k (1 curve)	1	2+ 3- 5+ 11- 67+	2+ 3- 5+  1 11- -4 -1 -7
Curve Equation t Generators 66330k1 [1,-1,0,-6243255,6010228701] 1 [-114860:6900341:64]
66330l (1 curve)	1	2+ 3- 5+ 11- 67+	2+ 3- 5+  1 11- -4  5 -1
Curve Equation t Generators 66330l1 [1,-1,0,-22725,-2758995] 1 [1838:15295:8]
66330m (2 curves)	1	2+ 3- 5+ 11- 67+	2+ 3- 5+  2 11-  4  0  0
Curve Equation t Generators 66330m1 [1,-1,0,-810,8100] 2 [0:90:1] 66330m2 [1,-1,0,1170,40176] 2 [27:-315:1]
66330n (4 curves)	2	2+ 3- 5+ 11- 67-	2+ 3- 5+ -4 11- -2 -2  4
Curve Equation t Generators 66330n1 [1,-1,0,1305,29565] 2 [-9:135:1]&[7:194:1] 66330n2 [1,-1,0,-10215,326781] 4 [-98:665:1]&[-87:786:1] 66330n3 [1,-1,0,-49815,-3973779] 2 [-143:530:1]&[297:2565:1] 66330n4 [1,-1,0,-154935,23510925] 2 [-390:5145:1]&[-42:5493:1]
66330o (2 curves)	0	2+ 3- 5+ 11- 67-	2+ 3- 5+ -4 11-  5 -3 -4
Curve Equation t 66330o1 [1,-1,0,810,756] 1 66330o2 [1,-1,0,-11790,522396] 3
66330p (1 curve)	1	2+ 3- 5- 11+ 67+	2+ 3- 5- -1 11+  2  7  1
Curve Equation t Generators 66330p1 [1,-1,0,-197109,34104213] 1 [277:699:1]
66330q (1 curve)	1	2+ 3- 5- 11+ 67+	2+ 3- 5- -1 11+ -6 -5  5
Curve Equation t Generators 66330q1 [1,-1,0,-4554,-165132] 1 [23874:165211:216]
66330r (2 curves)	1	2+ 3- 5- 11+ 67+	2+ 3- 5-  2 11+  0  0  4
Curve Equation t Generators 66330r1 [1,-1,0,-588339,-173548427] 2 [1862:71069:1] 66330r2 [1,-1,0,-580419,-178454075] 2 [1166:26417:1]
66330s (1 curve)	0	2+ 3- 5- 11+ 67-	2+ 3- 5-  1 11+  0  3  7
Curve Equation t 66330s1 [1,-1,0,-15264,729688] 1
66330t (1 curve)	0	2+ 3- 5- 11+ 67-	2+ 3- 5-  1 11+  0 -3  1
Curve Equation t 66330t1 [1,-1,0,-82779,-9149797] 1
66330u (2 curves)	0	2+ 3- 5- 11+ 67-	2+ 3- 5-  4 11+  0 -6  4
Curve Equation t 66330u1 [1,-1,0,-180173664,-930815790080] 2 66330u2 [1,-1,0,-178906464,-944555025920] 2
66330v (1 curve)	0	2+ 3- 5- 11+ 67-	2+ 3- 5-  4 11+  5 -1  4
Curve Equation t 66330v1 [1,-1,0,-98289,11948445] 1
66330w (4 curves)	0	2+ 3- 5- 11- 67+	2+ 3- 5-  0 11-  6  6  4
Curve Equation t 66330w1 [1,-1,0,-34164,-2360880] 2 66330w2 [1,-1,0,-80244,5408208] 4 66330w3 [1,-1,0,243756,37873008] 2 66330w4 [1,-1,0,-1141524,469612080] 2
66330x (2 curves)	0	2+ 3- 5- 11- 67+	2+ 3- 5-  2 11-  2 -2 -2
Curve Equation t 66330x1 [1,-1,0,-4185639,-3294557955] 2 66330x2 [1,-1,0,-3799719,-3926926467] 2
66330y (2 curves)	1	2+ 3- 5- 11- 67-	2+ 3- 5-  2 11- -1  6  5
Curve Equation t Generators 66330y1 [1,-1,0,-607149,-183480795] 1 [8838:173241:8] 66330y2 [1,-1,0,1950291,-963610587] 3 [477:8424:1]
66330z (1 curve)	1	2+ 3- 5- 11- 67-	2+ 3- 5- -2 11- -7  2  1
Curve Equation t Generators 66330z1 [1,-1,0,-909,12555] 1 [-21:159:1]
66330ba (1 curve)	1	2- 3+ 5+ 11+ 67-	2- 3+ 5+  4 11+ -3  0  7
Curve Equation t Generators 66330ba1 [1,-1,1,8827,1598077] 1 [-65:896:1]
66330bb (2 curves)	1	2- 3+ 5+ 11- 67+	2- 3+ 5+ -2 11- -4  2 -4
Curve Equation t Generators 66330bb1 [1,-1,1,-17564078,28334632637] 2 [2073:27763:1] 66330bb2 [1,-1,1,-281018798,1813293051581] 2 [261795:-210911:27]
66330bc (1 curve)	1	2- 3+ 5+ 11- 67+	2- 3+ 5+  4 11-  5 -4 -1
Curve Equation t Generators 66330bc1 [1,-1,1,1567,-128023] 1 [105:1036:1]
66330bd (2 curves)	1	2- 3+ 5+ 11- 67+	2- 3+ 5+ -4 11-  0 -4 -4
Curve Equation t Generators 66330bd1 [1,-1,1,-3998,-93203] 2 [-37:73:1] 66330bd2 [1,-1,1,-63398,-6128243] 2 [-145:73:1]
66330be (2 curves)	1	2- 3+ 5- 11+ 67+	2- 3+ 5- -4 11+  4 -6  4
Curve Equation t Generators 66330be1 [1,-1,1,-2507,18139] 2 [97:-874:1] 66330be2 [1,-1,1,-32507,2262139] 2 [137:-674:1]
66330bf (2 curves)	2	2- 3+ 5- 11+ 67-	2- 3+ 5- -2 11+ -6 -6 -8
Curve Equation t Generators 66330bf1 [1,-1,1,-467,3891] 2 [21:44:1]&[-162:627:8] 66330bf2 [1,-1,1,133,12771] 2 [-138:637:8]&[9:-126:1]
66330bg (2 curves)	1	2- 3+ 5- 11- 67-	2- 3+ 5-  0 11-  0  2 -4
Curve Equation t Generators 66330bg1 [1,-1,1,-20583182,35944752781] 2 [-4109:228179:1] 66330bg2 [1,-1,1,-22270682,29706402781] 2 [-4159:226529:1]
66330bh (2 curves)	1	2- 3+ 5- 11- 67-	2- 3+ 5-  0 11-  4 -2 -4
Curve Equation t Generators 66330bh1 [1,-1,1,-82427,-8899349] 2 [-181:346:1] 66330bh2 [1,-1,1,-1311227,-577587989] 2 [-661:346:1]
66330bi (4 curves)	1	2- 3+ 5- 11- 67-	2- 3+ 5- -4 11-  2 -6 -4
Curve Equation t Generators 66330bi1 [1,-1,1,-54782,-4101811] 6 [-131:967:1] 66330bi2 [1,-1,1,104938,-23651539] 6 [595:15487:1] 66330bi3 [1,-1,1,-4229282,-3346654211] 2 [6589:501497:1] 66330bi4 [1,-1,1,-4226312,-3351591539] 2 [11385660:866595451:1728]
66330bj (1 curve)	1	2- 3- 5+ 11+ 67+	2- 3- 5+ -1 11+  4 -3  7
Curve Equation t Generators 66330bj1 [1,-1,1,97,36487] 1 [-25:146:1]
66330bk (2 curves)	1	2- 3- 5+ 11+ 67+	2- 3- 5+  2 11+  2  0  0
Curve Equation t Generators 66330bk1 [1,-1,1,-17573,-396003] 2 [-99:654:1] 66330bk2 [1,-1,1,-235373,-43868883] 2 [-279:294:1]
66330bl (2 curves)	1	2- 3- 5+ 11+ 67+	2- 3- 5+ -4 11+  6  4  0
Curve Equation t Generators 66330bl1 [1,-1,1,-105638,13225781] 2 [153:-869:1] 66330bl2 [1,-1,1,-1689638,845776181] 2 [753:-485:1]
66330bm (2 curves)	0	2- 3- 5+ 11- 67+	2- 3- 5+  2 11- -4 -2  4
Curve Equation t 66330bm1 [1,-1,1,-458033,96997277] 2 66330bm2 [1,-1,1,948217,574559777] 2
66330bn (2 curves)	0	2- 3- 5+ 11- 67+	2- 3- 5+ -2 11-  2  6 -4
Curve Equation t 66330bn1 [1,-1,1,-659768,-21581269] 2 66330bn2 [1,-1,1,-6847268,6868818731] 2
66330bo (2 curves)	2	2- 3- 5+ 11- 67+	2- 3- 5+ -2 11- -4 -4 -4
Curve Equation t Generators 66330bo1 [1,-1,1,-6368,-19069] 2 [-75:217:1]&[-69:331:1] 66330bo2 [1,-1,1,25312,-171133] 2 [13:393:1]&[27:715:1]
66330bp (4 curves)	1	2- 3- 5+ 11- 67-	2- 3- 5+ -4 11- -4  6 -4
Curve Equation t Generators 66330bp1 [1,-1,1,-239018,-44730043] 2 [-17676:34321:64] 66330bp2 [1,-1,1,-115268,-91062043] 2 [53073132:-2601379187:21952] 66330bp3 [1,-1,1,-1362893,580168757] 6 [-909:33124:1] 66330bp4 [1,-1,1,1032907,2400018437] 6 [-7074:229055:8]
66330bq (4 curves)	0	2- 3- 5- 11+ 67+	2- 3- 5-  4 11+  2  6  4
Curve Equation t 66330bq1 [1,-1,1,-344913332,2465631921431] 4 66330bq2 [1,-1,1,-345650612,2454562104599] 4 66330bq3 [1,-1,1,-104450612,5816697144599] 2 66330bq4 [1,-1,1,-598647092,-1616050060009] 2
66330br (4 curves)	2	2- 3- 5- 11+ 67+	2- 3- 5- -4 11+ -6 -2 -4
Curve Equation t Generators 66330br1 [1,-1,1,-161042,-5226991] 4 [-383:591:1]&[-333:3541:1] 66330br2 [1,-1,1,-1961042,-1054986991] 4 [-833:591:1]&[-813:1621:1] 66330br3 [1,-1,1,-1358042,-1716357391] 2 [1579:7827:1]&[3207:162421:1] 66330br4 [1,-1,1,-31364042,-67599856591] 2 [-3233:1621:1]&[491679:344495893:1]
66330bs (2 curves)	1	2- 3- 5- 11+ 67-	2- 3- 5- -2 11+ -6  6 -2
Curve Equation t Generators 66330bs1 [1,-1,1,-33197,-2300331] 2 [-103:186:1] 66330bs2 [1,-1,1,-9077,-5590299] 2 [401:7224:1]
66330bt (1 curve)	1	2- 3- 5- 11- 67+	2- 3- 5-  2 11-  5 -2 -5
Curve Equation t Generators 66330bt1 [1,-1,1,-257,-4111] 1 [27:76:1]
66330bu (1 curve)	0	2- 3- 5- 11- 67-	2- 3- 5-  3 11-  4  7 -1
Curve Equation t 66330bu1 [1,-1,1,313,-3041] 1

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