Cremona's table of elliptic curves

45504 = 2⁶ · 3² · 79

Class	r	Atkin-Lehner	Eigenvalues
45504a (1 curve)	1	2+ 3+ 79+	2+ 3+  0 -1  1  3 -3  2
Curve Equation t Generators 45504a1 [0,0,0,180,-656] 1 [8:36:1]
45504b (1 curve)	1	2+ 3+ 79+	2+ 3+  0 -1 -1  3  3  2
Curve Equation t Generators 45504b1 [0,0,0,1620,17712] 1 [84:864:1]
45504c (1 curve)	1	2+ 3+ 79+	2+ 3+  0 -1  5  3 -7 -2
Curve Equation t Generators 45504c1 [0,0,0,-135,604] 1 [8:6:1]
45504d (1 curve)	1	2+ 3+ 79+	2+ 3+  0 -1 -5  3  7 -2
Curve Equation t Generators 45504d1 [0,0,0,-1215,-16308] 1 [23772:165348:343]
45504e (1 curve)	0	2+ 3+ 79-	2+ 3+  0  1  5  3  7  2
Curve Equation t 45504e1 [0,0,0,-1215,16308] 1
45504f (1 curve)	0	2+ 3+ 79-	2+ 3+  0  1 -5  3 -7  2
Curve Equation t 45504f1 [0,0,0,-135,-604] 1
45504g (1 curve)	0	2+ 3+ 79-	2+ 3+  4  1  3 -5  1  6
Curve Equation t 45504g1 [0,0,0,-3948,97200] 1
45504h (2 curves)	0	2+ 3+ 79-	2+ 3+  4  4  2  2 -2  4
Curve Equation t 45504h1 [0,0,0,-2808,-57240] 2 45504h2 [0,0,0,-2268,-79920] 2
45504i (1 curve)	0	2+ 3+ 79-	2+ 3+ -4  1 -3 -5 -1  6
Curve Equation t 45504i1 [0,0,0,-35532,-2624400] 1
45504j (2 curves)	0	2+ 3+ 79-	2+ 3+ -4  4 -2  2  2  4
Curve Equation t 45504j1 [0,0,0,-312,2120] 2 45504j2 [0,0,0,-252,2960] 2
45504k (2 curves)	0	2+ 3- 79+	2+ 3-  1  3  2  1  2  0
Curve Equation t 45504k1 [0,0,0,-241932,-45400592] 1 45504k2 [0,0,0,-13466892,19021121008] 1
45504l (1 curve)	0	2+ 3- 79+	2+ 3-  1  3  2  1 -4 -6
Curve Equation t 45504l1 [0,0,0,-6492,201328] 1
45504m (1 curve)	0	2+ 3- 79+	2+ 3- -1 -3  4  7  4  6
Curve Equation t 45504m1 [0,0,0,-2028,-33104] 1
45504n (2 curves)	0	2+ 3- 79+	2+ 3-  2  0 -2 -2 -8  0
Curve Equation t 45504n1 [0,0,0,-624,18088] 2 45504n2 [0,0,0,-14844,694960] 2
45504o (1 curve)	0	2+ 3- 79+	2+ 3-  2 -3 -5  1 -5  6
Curve Equation t 45504o1 [0,0,0,46356,837808] 1
45504p (2 curves)	0	2+ 3- 79+	2+ 3- -2  0 -4 -2  2  0
Curve Equation t 45504p1 [0,0,0,564,-10640] 2 45504p2 [0,0,0,-5196,-123536] 2
45504q (1 curve)	0	2+ 3- 79+	2+ 3- -2  1  1  1 -3  6
Curve Equation t 45504q1 [0,0,0,-876,-11216] 1
45504r (1 curve)	0	2+ 3- 79+	2+ 3- -2 -3 -5  5  7 -2
Curve Equation t 45504r1 [0,0,0,-846156,420339184] 1
45504s (1 curve)	0	2+ 3- 79+	2+ 3- -3 -1  2 -3 -4 -2
Curve Equation t 45504s1 [0,0,0,-219,-1244] 1
45504t (1 curve)	2	2+ 3- 79+	2+ 3- -3 -1 -2 -3  6 -4
Curve Equation t Generators 45504t1 [0,0,0,-1164,-14096] 1 [-24:4:1]&[-18:32:1]
45504u (1 curve)	0	2+ 3- 79+	2+ 3-  4 -3 -1 -5  5 -6
Curve Equation t 45504u1 [0,0,0,-28668,-1879760] 1
45504v (2 curves)	1	2+ 3- 79-	2+ 3-  0 -1  3 -5  3 -2
Curve Equation t Generators 45504v1 [0,0,0,420,-6928] 1 [34:-216:1] 45504v2 [0,0,0,-3900,222896] 1 [322:5688:1]
45504w (1 curve)	1	2+ 3- 79-	2+ 3-  1  1 -6  1  4  6
Curve Equation t Generators 45504w1 [0,0,0,-252,432] 1 [-8:44:1]
45504x (1 curve)	1	2+ 3- 79-	2+ 3- -1 -5  4 -1  8 -2
Curve Equation t Generators 45504x1 [0,0,0,-588,-4624] 1 [-10:16:1]
45504y (1 curve)	1	2+ 3- 79-	2+ 3- -2 -1 -5  1  1  2
Curve Equation t Generators 45504y1 [0,0,0,-3756,-204496] 1 [100:648:1]
45504z (3 curves)	1	2+ 3- 79-	2+ 3-  3 -1  0 -5  0 -2
Curve Equation t Generators 45504z1 [0,0,0,-26796,-1688272] 1 [-68922:4672:729] 45504z2 [0,0,0,-46956,1174448] 1 [354:20224:27] 45504z3 [0,0,0,-3004716,2004715568] 1 [3368490:475136:3375]
45504ba (1 curve)	1	2+ 3- 79-	2+ 3- -3  1 -2 -3 -4  2
Curve Equation t Generators 45504ba1 [0,0,0,-219,1244] 1 [8:2:1]
45504bb (1 curve)	1	2+ 3- 79-	2+ 3- -3 -3 -2  5 -6  0
Curve Equation t Generators 45504bb1 [0,0,0,-5004,-98064] 1 [94:512:1]
45504bc (1 curve)	0	2- 3+ 79+	2- 3+  4 -1 -3 -5  1 -6
Curve Equation t 45504bc1 [0,0,0,-3948,-97200] 1
45504bd (2 curves)	0	2- 3+ 79+	2- 3+  4 -4 -2  2 -2 -4
Curve Equation t 45504bd1 [0,0,0,-2808,57240] 2 45504bd2 [0,0,0,-2268,79920] 2
45504be (1 curve)	2	2- 3+ 79+	2- 3+ -4 -1  3 -5 -1 -6
Curve Equation t Generators 45504be1 [0,0,0,-35532,2624400] 1 [0:1620:1]&[82:-512:1]
45504bf (2 curves)	0	2- 3+ 79+	2- 3+ -4 -4  2  2  2 -4
Curve Equation t 45504bf1 [0,0,0,-312,-2120] 2 45504bf2 [0,0,0,-252,-2960] 2
45504bg (1 curve)	1	2- 3+ 79-	2- 3+  0  1  1  3  3 -2
Curve Equation t Generators 45504bg1 [0,0,0,1620,-17712] 1 [186:2592:1]
45504bh (1 curve)	1	2- 3+ 79-	2- 3+  0  1 -1  3 -3 -2
Curve Equation t Generators 45504bh1 [0,0,0,180,656] 1 [2:32:1]
45504bi (2 curves)	1	2- 3- 79+	2- 3-  0  1 -3 -5  3  2
Curve Equation t Generators 45504bi1 [0,0,0,420,6928] 1 [-4:72:1] 45504bi2 [0,0,0,-3900,-222896] 1 [716:19080:1]
45504bj (1 curve)	1	2- 3- 79+	2- 3-  1 -1  6  1  4 -6
Curve Equation t Generators 45504bj1 [0,0,0,-252,-432] 1 [-2:8:1]
45504bk (1 curve)	1	2- 3- 79+	2- 3- -1  5 -4 -1  8  2
Curve Equation t Generators 45504bk1 [0,0,0,-588,4624] 1 [0:68:1]
45504bl (4 curves)	1	2- 3- 79+	2- 3- -2  0  0  2  6 -8
Curve Equation t Generators 45504bl1 [0,0,0,-76791,-8190560] 2 [-14298333810276:7686497650:89374579111] 45504bl2 [0,0,0,-76836,-8180480] 4 [-779586:-629096:4913] 45504bl3 [0,0,0,-48396,-14312144] 2 [11410987809:-360592498031:10793861] 45504bl4 [0,0,0,-105996,-1403696] 2 [-246:3128:1]
45504bm (1 curve)	1	2- 3- 79+	2- 3- -2  1  5  1  1 -2
Curve Equation t Generators 45504bm1 [0,0,0,-3756,204496] 1 [74:576:1]
45504bn (3 curves)	1	2- 3- 79+	2- 3-  3  1  0 -5  0  2
Curve Equation t Generators 45504bn1 [0,0,0,-26796,1688272] 1 [48:716:1] 45504bn2 [0,0,0,-46956,-1174448] 1 [-423600:4381204:15625] 45504bn3 [0,0,0,-3004716,-2004715568] 1 [-23210802640074016582800:-700693561668340710292:23208266481104265625]
45504bo (1 curve)	1	2- 3- 79+	2- 3- -3 -1 -6  5  2  4
Curve Equation t Generators 45504bo1 [0,0,0,-39,16] 1 [0:4:1]
45504bp (1 curve)	1	2- 3- 79+	2- 3- -3  3  2  5 -6  0
Curve Equation t Generators 45504bp1 [0,0,0,-5004,98064] 1 [-68:352:1]
45504bq (1 curve)	1	2- 3- 79+	2- 3-  4 -3  3 -1 -3 -2
Curve Equation t Generators 45504bq1 [0,0,0,-3,160] 1 [20:90:1]
45504br (2 curves)	0	2- 3- 79-	2- 3-  1 -3 -2  1  2  0
Curve Equation t 45504br1 [0,0,0,-241932,45400592] 1 45504br2 [0,0,0,-13466892,-19021121008] 1
45504bs (1 curve)	0	2- 3- 79-	2- 3-  1 -3 -2  1 -4  6
Curve Equation t 45504bs1 [0,0,0,-6492,-201328] 1
45504bt (1 curve)	0	2- 3- 79-	2- 3- -1  3 -4  7  4 -6
Curve Equation t 45504bt1 [0,0,0,-2028,33104] 1
45504bu (2 curves)	0	2- 3- 79-	2- 3-  2  0  2 -2 -8  0
Curve Equation t 45504bu1 [0,0,0,-624,-18088] 2 45504bu2 [0,0,0,-14844,-694960] 2
45504bv (1 curve)	0	2- 3- 79-	2- 3-  2  3  5  1 -5 -6
Curve Equation t 45504bv1 [0,0,0,46356,-837808] 1
45504bw (4 curves)	0	2- 3- 79-	2- 3- -2  0  0  2  6  8
Curve Equation t 45504bw1 [0,0,0,-76791,8190560] 2 45504bw2 [0,0,0,-76836,8180480] 4 45504bw3 [0,0,0,-48396,14312144] 2 45504bw4 [0,0,0,-105996,1403696] 2
45504bx (2 curves)	0	2- 3- 79-	2- 3- -2  0  4 -2  2  0
Curve Equation t 45504bx1 [0,0,0,564,10640] 2 45504bx2 [0,0,0,-5196,123536] 2
45504by (1 curve)	2	2- 3- 79-	2- 3- -2 -1 -1  1 -3 -6
Curve Equation t Generators 45504by1 [0,0,0,-876,11216] 1 [-20:144:1]&[-14:144:1]
45504bz (1 curve)	0	2- 3- 79-	2- 3- -2  3  5  5  7  2
Curve Equation t 45504bz1 [0,0,0,-846156,-420339184] 1
45504ca (1 curve)	0	2- 3- 79-	2- 3- -3  1  2 -3  6  4
Curve Equation t 45504ca1 [0,0,0,-1164,14096] 1
45504cb (1 curve)	0	2- 3- 79-	2- 3- -3  1  6  5  2 -4
Curve Equation t 45504cb1 [0,0,0,-39,-16] 1
45504cc (1 curve)	0	2- 3- 79-	2- 3-  4  3  1 -5  5  6
Curve Equation t 45504cc1 [0,0,0,-28668,1879760] 1
45504cd (1 curve)	0	2- 3- 79-	2- 3-  4  3 -3 -1 -3  2
Curve Equation t 45504cd1 [0,0,0,-3,-160] 1

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