Cremona's table of elliptic curves

23322 = 2 · 3 · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
23322a (1 curve)	1	2+ 3+ 13+ 23+	2+ 3+ -1  4 -4 13+  2 -5
Curve Equation t Generators 23322a1 [1,1,0,9292,399924] 1 [70:1148:1]
23322b (4 curves)	1	2+ 3+ 13+ 23+	2+ 3+ -2  0  0 13+  2  8
Curve Equation t Generators 23322b1 [1,1,0,504,4464] 2 [5:82:1] 23322b2 [1,1,0,-2876,38940] 4 [-37:329:1] 23322b3 [1,1,0,-18086,-913206] 2 [291:4164:1] 23322b4 [1,1,0,-41746,3265150] 2 [301:4102:1]
23322c (1 curve)	1	2+ 3+ 13+ 23+	2+ 3+ -3 -4  0 13+  6  5
Curve Equation t Generators 23322c1 [1,1,0,24671,266283061] 1 [-606:5711:1]
23322d (2 curves)	0	2+ 3+ 13+ 23-	2+ 3+  0  2  0 13+ -4  2
Curve Equation t 23322d1 [1,1,0,-159370,31706836] 2 23322d2 [1,1,0,-2755210,1758978772] 2
23322e (1 curve)	0	2+ 3+ 13+ 23-	2+ 3+  1  4  0 13+  3  4
Curve Equation t 23322e1 [1,1,0,-169952,-28121088] 1
23322f (2 curves)	0	2+ 3+ 13+ 23-	2+ 3+  4 -2  0 13+  0 -2
Curve Equation t 23322f1 [1,1,0,7602,667620] 2 23322f2 [1,1,0,-83658,8242200] 2
23322g (2 curves)	1	2+ 3+ 13- 23-	2+ 3+ -4  4 -6 13-  6  8
Curve Equation t Generators 23322g1 [1,1,0,-6087,76965] 2 [106:745:1] 23322g2 [1,1,0,-50027,-4273095] 2 [-124:269:1]
23322h (4 curves)	2	2+ 3- 13+ 23+	2+ 3-  0 -2 -6 13+ -6 -2
Curve Equation t Generators 23322h1 [1,0,1,12164,11377082] 2 [-143:2663:1]&[-38:3314:1] 23322h2 [1,0,1,-690876,214977466] 2 [-727:18615:1]&[-376:20721:1] 23322h3 [1,0,1,-109516,-307716550] 2 [781:8735:1]&[1885:77699:1] 23322h4 [1,0,1,-7535376,-7888034438] 2 [-1585:9411:1]&[-1468:4029:1]
23322i (4 curves)	0	2+ 3- 13+ 23+	2+ 3- -2  4 -4 13+  6  0
Curve Equation t 23322i1 [1,0,1,5573,-934906] 2 23322i2 [1,0,1,-116107,-14417050] 4 23322i3 [1,0,1,-349327,61612670] 2 23322i4 [1,0,1,-1829767,-952817266] 2
23322j (2 curves)	0	2- 3+ 13+ 23+	2- 3+  0 -2 -6 13+  6 -2
Curve Equation t 23322j1 [1,1,1,-26283,-1668087] 2 23322j2 [1,1,1,-421743,-105594975] 2
23322k (1 curve)	0	2- 3+ 13+ 23+	2- 3+  1 -4  4 13+  2  5
Curve Equation t 23322k1 [1,1,1,55,203] 1
23322l (2 curves)	0	2- 3+ 13+ 23+	2- 3+  2  2  6 13+  0  0
Curve Equation t 23322l1 [1,1,1,-257,3323] 2 23322l2 [1,1,1,-5327,147311] 2
23322m (2 curves)	0	2- 3+ 13+ 23+	2- 3+ -2  2 -2 13+ -4 -4
Curve Equation t 23322m1 [1,1,1,-871114,-366032425] 2 23322m2 [1,1,1,-14580394,-21434453929] 2
23322n (1 curve)	0	2- 3+ 13+ 23+	2- 3+  3  4  0 13+  6 -5
Curve Equation t 23322n1 [1,1,1,146,121259] 1
23322o (1 curve)	1	2- 3+ 13+ 23-	2- 3+ -1 -4  0 13+  3 -4
Curve Equation t Generators 23322o1 [1,1,1,-28721976,-61638420615] 1 [8389:532349:1]
23322p (2 curves)	1	2- 3+ 13+ 23-	2- 3+  2 -2  0 13+ -6  0
Curve Equation t Generators 23322p1 [1,1,1,-843567,297958773] 2 [291:8642:1] 23322p2 [1,1,1,-13498287,19082625141] 2 [2115:-598:1]
23322q (2 curves)	1	2- 3+ 13+ 23-	2- 3+ -2  2  4 13+  2 -4
Curve Equation t Generators 23322q1 [1,1,1,29656,-1879675] 2 [5465:401515:1] 23322q2 [1,1,1,-168074,-17856259] 2 [-1106:13843:8]
23322r (2 curves)	0	2- 3+ 13- 23-	2- 3+  4 -4  6 13-  6 -8
Curve Equation t 23322r1 [1,1,1,-36,21] 2 23322r2 [1,1,1,-296,-2059] 2
23322s (2 curves)	1	2- 3- 13+ 23+	2- 3-  0  2 -2 13+ -6  6
Curve Equation t Generators 23322s1 [1,0,0,-5158,959204] 2 [-64:1046:1] 23322s2 [1,0,0,-180918,29467476] 2 [222:396:1]
23322t (4 curves)	1	2- 3- 13+ 23+	2- 3-  0 -2  0 13+  0 -2
Curve Equation t Generators 23322t1 [1,0,0,-6003,186705] 2 [-12:513:1] 23322t2 [1,0,0,-97263,11667213] 2 [174:51:1] 23322t3 [1,0,0,32022,385956] 2 [92:1982:1] 23322t4 [1,0,0,-130218,3079140] 2 [404:3854:1]
23322u (4 curves)	0	2- 3- 13+ 23-	2- 3-  0  4  0 13+  0 -2
Curve Equation t 23322u1 [1,0,0,3292,-8184372] 2 23322u2 [1,0,0,-589898,-171074346] 2 23322u3 [1,0,0,-2970263,-1970765655] 2 23322u4 [1,0,0,-47525423,-126110352447] 2

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