Cremona's table of elliptic curves

88800 = 2⁵ · 3 · 5² · 37

Class	r	Atkin-Lehner	Eigenvalues
88800a (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  1 -1 -6  5  6
Curve Equation t Generators 88800a1 [0,-1,0,-21408,1398312] 1 [57:600:1]
88800b (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  1  2  1 -6 -1
Curve Equation t Generators 88800b1 [0,-1,0,282467,7360117] 1 [56136:3223403:512]
88800c (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  1  2 -3  2  3
Curve Equation t Generators 88800c1 [0,-1,0,-93,1077] 1 [-4:37:1]
88800d (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  2  6  5 -4 -4
Curve Equation t Generators 88800d1 [0,-1,0,867,407637] 1 [227:3500:1]
88800e (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+ -2  2  1  3 -4
Curve Equation t Generators 88800e1 [0,-1,0,-70208,-7136088] 1 [-2056769642066:220886633393:13379569624]
88800f (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -2 -2 -1 -4  0
Curve Equation t 88800f1 [0,-1,0,-403533,-99985563] 1
88800g (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  3  3 -2 -3 -2
Curve Equation t 88800g1 [0,-1,0,-105008,-21142488] 1
88800h (2 curves)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  4  4  2 -4 -6
Curve Equation t 88800h1 [0,-1,0,-1458,20412] 2 88800h2 [0,-1,0,-4833,-104463] 2
88800i (1 curve)	0	2+ 3+ 5- 37+	2+ 3+ 5-  2 -4  6 -6 -1
Curve Equation t 88800i1 [0,-1,0,-64833,-6332463] 1
88800j (1 curve)	0	2+ 3+ 5- 37+	2+ 3+ 5- -2 -4 -2 -6  1
Curve Equation t 88800j1 [0,-1,0,-216833,-61748463] 1
88800k (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5-  1 -2 -1  6  1
Curve Equation t Generators 88800k1 [0,-1,0,7061667,-934137963] 1 [29267:5027300:1]
88800l (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5-  1 -2  3 -2 -3
Curve Equation t Generators 88800l1 [0,-1,0,-2333,-129963] 1 [67:100:1]
88800m (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -2 -2 -1 -3  4
Curve Equation t Generators 88800m1 [0,-1,0,-2808,58212] 1 [32:10:1]
88800n (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+ -2 -2 -3  4  4
Curve Equation t 88800n1 [0,1,0,-457533,-122332437] 1
88800o (1 curve)	2	2+ 3- 5+ 37+	2+ 3- 5+ -2 -2 -7 -7  0
Curve Equation t Generators 88800o1 [0,1,0,-2968,45128] 1 [74:486:1]&[-46:294:1]
88800p (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  4  4  2  2  0
Curve Equation t 88800p1 [0,1,0,-46258,-3842512] 4 88800p2 [0,1,0,-37008,-5415012] 2 88800p3 [0,1,0,-55633,-2183137] 2 88800p4 [0,1,0,-740008,-245267512] 2
88800q (2 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  0  0 -2  2  2
Curve Equation t Generators 88800q1 [0,1,0,-24758,-1062012] 2 [-128:162:1] 88800q2 [0,1,0,66367,-6985137] 2 [343:-7500:1]
88800r (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  2  2 -1 -4  0
Curve Equation t Generators 88800r1 [0,1,0,-403533,99985563] 1 [393:1500:1]
88800s (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -3 -4 -1  0 -7
Curve Equation t Generators 88800s1 [0,1,0,-5213,179883] 1 [-71:444:1]
88800t (2 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+ -4 -4  2 -4  6
Curve Equation t Generators 88800t1 [0,1,0,-1458,-20412] 2 [-18:18:1] 88800t2 [0,1,0,-4833,104463] 2 [-21:444:1]
88800u (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -4 -6  1 -3  6
Curve Equation t Generators 88800u1 [0,1,0,-48,-132] 1 [-38:27:8]
88800v (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  2  4 -2 -6 -1
Curve Equation t Generators 88800v1 [0,1,0,-216833,61748463] 1 [379:5844:1]
88800w (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -2  4  6 -6  1
Curve Equation t Generators 88800w1 [0,1,0,-64833,6332463] 1 [147:12:1]
88800x (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -3  4  1  0  7
Curve Equation t Generators 88800x1 [0,1,0,-130333,-22746037] 1 [5533:410700:1]
88800y (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -3  5 -4  3  4
Curve Equation t Generators 88800y1 [0,1,0,1792,-77412] 1 [314:1875:8]
88800z (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -4  6 -1  3 -6
Curve Equation t Generators 88800z1 [0,1,0,-1208,14088] 1 [42:198:1]
88800ba (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5- -2  2  7  7  0
Curve Equation t 88800ba1 [0,1,0,-74208,-5789412] 1
88800bb (1 curve)	2	2+ 3- 5- 37-	2+ 3- 5- -3 -5  4 -3 -4
Curve Equation t Generators 88800bb1 [0,1,0,72,648] 1 [-6:6:1]&[18:90:1]
88800bc (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  2  2 -3  4 -4
Curve Equation t 88800bc1 [0,-1,0,-457533,122332437] 1
88800bd (1 curve)	0	2- 3+ 5+ 37+	2- 3+ 5+  2  2 -7 -7  0
Curve Equation t 88800bd1 [0,-1,0,-2968,-45128] 1
88800be (4 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  4  4  2  2  4
Curve Equation t 88800be1 [0,-1,0,-9158,-233688] 4 88800be2 [0,-1,0,24592,-1583688] 2 88800be3 [0,-1,0,-55408,4853812] 2 88800be4 [0,-1,0,-134033,-18840063] 2
88800bf (4 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+ -4 -4  2  2  0
Curve Equation t 88800bf1 [0,-1,0,-46258,3842512] 4 88800bf2 [0,-1,0,-37008,5415012] 2 88800bf3 [0,-1,0,-55633,2183137] 2 88800bf4 [0,-1,0,-740008,245267512] 2
88800bg (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  0  0 -2  2 -2
Curve Equation t Generators 88800bg1 [0,-1,0,-24758,1062012] 2 [43:274:1] 88800bg2 [0,-1,0,66367,6985137] 2 [-88:675:1]
88800bh (4 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  0  0 -2 -6 -4
Curve Equation t Generators 88800bh1 [0,-1,0,-180158,23328312] 4 [8695:416988:125] 88800bh2 [0,-1,0,397967,141843937] 2 [1397:58500:1] 88800bh3 [0,-1,0,-929408,-324323688] 2 [-45692595:357390748:91125] 88800bh4 [0,-1,0,-2711408,1719265812] 4 [332:29250:1]
88800bi (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -1 -5 -3  3 -5
Curve Equation t Generators 88800bi1 [0,-1,0,2992,-14988] 1 [12:150:1]
88800bj (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  2  4 -6  6  1
Curve Equation t Generators 88800bj1 [0,-1,0,-2593,51697] 1 [31:12:1]
88800bk (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -2 -2 -1  0 -4
Curve Equation t Generators 88800bk1 [0,-1,0,-1133,17637] 1 [7:100:1]
88800bl (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -2  4  2  6 -1
Curve Equation t Generators 88800bl1 [0,-1,0,-8673,497457] 1 [63:444:1]
88800bm (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  3  4 -1  0  7
Curve Equation t Generators 88800bm1 [0,-1,0,-5213,-179883] 1 [2361:4292:27]
88800bn (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -3  3 -5 -3 -1
Curve Equation t Generators 88800bn1 [0,-1,0,-208,1912] 1 [-3:50:1]
88800bo (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  4  2  2 -2 -6
Curve Equation t Generators 88800bo1 [0,-1,0,6242,-12488] 2 [6243:493276:1] 88800bo2 [0,-1,0,-25008,-74988] 2 [-4:158:1]
88800bp (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+  4 -4  2  4  6
Curve Equation t Generators 88800bp1 [0,-1,0,-119575458,-503224386588] 2 [-2198396416350881349405967843085267091593910078177871392:1314458745707290130945877442861962743549563296213371550:348965234306212223098258722868356367187872283865829] 88800bp2 [0,-1,0,-1913188833,-32208928016463] 2 [-1178562752072446812330639360845528847901243254865764330969748664538084139204828699422874678149440569:-245625219629845892282111580480654087787386769349226607295459002052462556059997936422462678627708:46670280781071742403827008773607725921865933292860472832993272490535774807938367764776811803417]
88800bq (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  4  6  1 -3 -6
Curve Equation t Generators 88800bq1 [0,-1,0,-48,132] 1 [8:14:1]
88800br (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+ -5 -1 -7  7  3
Curve Equation t Generators 88800br1 [0,-1,0,1042026592,-6501293158188] 1 [618204:146299850:27]
88800bs (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  3 -4  1  0 -7
Curve Equation t Generators 88800bs1 [0,-1,0,-130333,22746037] 1 [-57:5476:1]
88800bt (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  3 -5 -4  3 -4
Curve Equation t Generators 88800bt1 [0,-1,0,1792,77412] 1 [-8:250:1]
88800bu (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5-  4 -6 -1  3  6
Curve Equation t Generators 88800bu1 [0,-1,0,-1208,-14088] 1 [-21710:37867:1000]
88800bv (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  2 -2  7  7  0
Curve Equation t 88800bv1 [0,-1,0,-74208,5789412] 1
88800bw (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  3  5  4 -3  4
Curve Equation t 88800bw1 [0,-1,0,72,-648] 1
88800bx (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -1  1 -6  5 -6
Curve Equation t Generators 88800bx1 [0,1,0,-21408,-1398312] 1 [282:3882:1]
88800by (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -2  1 -6  1
Curve Equation t Generators 88800by1 [0,1,0,282467,-7360117] 1 [254:8991:1]
88800bz (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -2 -3  2 -3
Curve Equation t Generators 88800bz1 [0,1,0,-93,-1077] 1 [106:111:8]
88800ca (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  2 -2  1  3  4
Curve Equation t Generators 88800ca1 [0,1,0,-70208,7136088] 1 [154:6:1]
88800cb (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -2 -6  5 -4  4
Curve Equation t Generators 88800cb1 [0,1,0,867,-407637] 1 [273:4500:1]
88800cc (4 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -4 -4  2  2 -4
Curve Equation t Generators 88800cc1 [0,1,0,-9158,233688] 4 [-47:750:1] 88800cc2 [0,1,0,24592,1583688] 2 [43:1650:1] 88800cc3 [0,1,0,-55408,-4853812] 2 [-121:306:1] 88800cc4 [0,1,0,-134033,18840063] 2 [223:300:1]
88800cd (4 curves)	0	2- 3- 5+ 37-	2- 3- 5+  0  0 -2 -6  4
Curve Equation t 88800cd1 [0,1,0,-180158,-23328312] 4 88800cd2 [0,1,0,397967,-141843937] 4 88800cd3 [0,1,0,-929408,324323688] 2 88800cd4 [0,1,0,-2711408,-1719265812] 2
88800ce (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  1  5 -3  3  5
Curve Equation t 88800ce1 [0,1,0,2992,14988] 1
88800cf (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  2  2 -1  0  4
Curve Equation t 88800cf1 [0,1,0,-1133,-17637] 1
88800cg (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  2 -4  2  6  1
Curve Equation t 88800cg1 [0,1,0,-8673,-497457] 1
88800ch (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -2 -4 -6  6 -1
Curve Equation t 88800ch1 [0,1,0,-2593,-51697] 1
88800ci (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  3 -3 -5 -3  1
Curve Equation t 88800ci1 [0,1,0,-208,-1912] 1
88800cj (1 curve)	2	2- 3- 5+ 37-	2- 3- 5+ -3 -3 -2 -3  2
Curve Equation t Generators 88800cj1 [0,1,0,-105008,21142488] 1 [-398:222:1]&[1034:24975:8]
88800ck (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+ -4 -2  2 -2  6
Curve Equation t 88800ck1 [0,1,0,6242,12488] 2 88800ck2 [0,1,0,-25008,74988] 2
88800cl (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+ -4  4  2  4 -6
Curve Equation t 88800cl1 [0,1,0,-119575458,503224386588] 2 88800cl2 [0,1,0,-1913188833,32208928016463] 2
88800cm (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  5  1 -7  7 -3
Curve Equation t 88800cm1 [0,1,0,1042026592,6501293158188] 1
88800cn (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -1  2 -1  6 -1
Curve Equation t Generators 88800cn1 [0,1,0,7061667,934137963] 1 [7233:656100:1]
88800co (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -1  2  3 -2  3
Curve Equation t Generators 88800co1 [0,1,0,-2333,129963] 1 [33:300:1]
88800cp (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  2  2 -1 -3 -4
Curve Equation t Generators 88800cp1 [0,1,0,-2808,-58212] 1 [-246:15:8]

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