Cremona's table of elliptic curves

23805 = 3² · 5 · 23²

Class	r	Atkin-Lehner	Eigenvalues
23805a (2 curves)	0	3+ 5+ 23-	1 3+ 5+  4  4 -6 -6  2
Curve Equation t 23805a1 [1,-1,0,-30,-9] 2 23805a2 [1,-1,0,-375,-2700] 2
23805b (2 curves)	0	3+ 5+ 23-	-1 3+ 5+ -4  4 -6 -6 -2
Curve Equation t 23805b1 [1,-1,1,-143723,-5394734] 2 23805b2 [1,-1,1,-1786268,-917335718] 2
23805c (1 curve)	0	3+ 5+ 23-	2 3+ 5+  1  2  1 -6  4
Curve Equation t 23805c1 [0,0,1,-2299563,1343026919] 1
23805d (1 curve)	2	3+ 5+ 23-	-2 3+ 5+ -1  2  1 -6 -4
Curve Equation t Generators 23805d1 [0,0,1,-483,4088] 1 [-21:70:1]&[6:37:1]
23805e (2 curves)	1	3+ 5- 23-	1 3+ 5- -4 -4 -6  6 -2
Curve Equation t Generators 23805e1 [1,-1,0,-15969,205128] 2 [-65272:235395:512] 23805e2 [1,-1,0,-198474,34041555] 2 [1998:-489:8]
23805f (2 curves)	1	3+ 5- 23-	-1 3+ 5-  4 -4 -6  6  2
Curve Equation t Generators 23805f1 [1,-1,1,-272,514] 2 [-1:28:1] 23805f2 [1,-1,1,-3377,76276] 2 [1:269:1]
23805g (1 curve)	1	3+ 5- 23-	2 3+ 5- -1 -2  1  6 -4
Curve Equation t Generators 23805g1 [0,0,1,-4347,-110383] 1 [738:4181:8]
23805h (1 curve)	1	3+ 5- 23-	-2 3+ 5-  1 -2  1  6  4
Curve Equation t Generators 23805h1 [0,0,1,-255507,-49741738] 1 [1587:59512:1]
23805i (1 curve)	1	3- 5+ 23-	0 3- 5+ -1  4  0  5  0
Curve Equation t Generators 23805i1 [0,0,1,-3481878,-2500771721] 1 [4550672443973:-546400995901042:310288733]
23805j (1 curve)	1	3- 5+ 23-	0 3- 5+  2  1  6  2 -3
Curve Equation t Generators 23805j1 [0,0,1,-138,-167] 1 [-11:4:1]
23805k (1 curve)	1	3- 5+ 23-	0 3- 5+  3 -4  0 -3  8
Curve Equation t Generators 23805k1 [0,0,1,-6348,544473] 1 [322:4757:8]
23805l (1 curve)	1	3- 5+ 23-	0 3- 5+ -3  6  4 -3  6
Curve Equation t Generators 23805l1 [0,0,1,-138,1719] 1 [23:103:1]
23805m (4 curves)	1	3- 5+ 23-	1 3- 5+ -4 -4 -2  6 -8
Curve Equation t Generators 23805m1 [1,-1,0,42750,-256689] 2 [18:711:1] 23805m2 [1,-1,0,-171495,-1927800] 4 [28710:1693845:8] 23805m3 [1,-1,0,-1814040,937279431] 2 [-90:247617:8] 23805m4 [1,-1,0,-1956870,-1050657075] 2 [2076:60855:1]
23805n (4 curves)	1	3- 5+ 23-	-1 3- 5+ -4  4  6 -2  4
Curve Equation t Generators 23805n1 [1,-1,1,2173297,775792262] 2 [1774890:120609796:2197] 23805n2 [1,-1,1,-10419548,6759912206] 4 [8695836536:-487831937163:15252992] 23805n3 [1,-1,1,-78858923,-264834903544] 2 [-102273423726076952:-936994031625780695:18685571078656] 23805n4 [1,-1,1,-143465693,661187290232] 2 [361300:11118229:64]
23805o (1 curve)	1	3- 5+ 23-	2 3- 5+  2 -5  0  4  1
Curve Equation t Generators 23805o1 [0,0,1,-839523,94936059] 1 [-71763464019428734:1574563696970508931:93243153081736]
23805p (1 curve)	1	3- 5+ 23-	-2 3- 5+ -1  2 -2  3  2
Curve Equation t Generators 23805p1 [0,0,1,33327,-3531472] 1 [759:21424:1]
23805q (1 curve)	1	3- 5+ 23-	-2 3- 5+  2 -1  4  0  1
Curve Equation t Generators 23805q1 [0,0,1,-1173,-15462] 1 [-158:5:8]
23805r (1 curve)	0	3- 5- 23-	0 3- 5- -2 -1  6 -2  3
Curve Equation t 23805r1 [0,0,1,-73002,2028847] 1
23805s (1 curve)	0	3- 5- 23-	0 3- 5-  3 -6  4  3 -6
Curve Equation t 23805s1 [0,0,1,-73002,-20918115] 1
23805t (8 curves)	0	3- 5- 23-	1 3- 5-  0 -4 -2  2 -4
Curve Equation t 23805t1 [1,-1,0,-99,61240] 2 23805t2 [1,-1,0,-23904,1408603] 4 23805t3 [1,-1,0,-47709,-1843160] 4 23805t4 [1,-1,0,-380979,90605938] 2 23805t5 [1,-1,0,166536,-13969427] 2 23805t6 [1,-1,0,-642834,-198115385] 4 23805t7 [1,-1,0,-523809,-273839090] 2 23805t8 [1,-1,0,-10283859,-12690955580] 2
23805u (1 curve)	0	3- 5- 23-	2 3- 5- -2  5  0 -4 -1
Curve Equation t 23805u1 [0,0,1,-1587,-7803] 1
23805v (1 curve)	0	3- 5- 23-	2 3- 5-  5 -2 -6  1 -2
Curve Equation t 23805v1 [0,0,1,-477687,144431415] 1
23805w (1 curve)	0	3- 5- 23-	-2 3- 5- -2  1  4  0 -1
Curve Equation t 23805w1 [0,0,1,-620517,188123112] 1
23805x (1 curve)	0	3- 5- 23-	-2 3- 5- -3  2 -2  5  2
Curve Equation t 23805x1 [0,0,1,141243,-28522490] 1

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