Cremona's table of elliptic curves

24309 = 3² · 37 · 73

Class	r	Atkin-Lehner	Eigenvalues
24309a (1 curve)	0	3- 37+ 73+	-1 3- -2 -1  4  1 -3  5
Curve Equation t 24309a1 [1,-1,1,679,-21594] 1
24309b (2 curves)	2	3- 37+ 73+	-1 3- -2 -2  0  4 -2 -4
Curve Equation t Generators 24309b1 [1,-1,1,-3011,63362] 2 [-26:364:1]&[-15:331:1] 24309b2 [1,-1,1,-47966,4055366] 2 [126:-50:1]&[217:1848:1]
24309c (2 curves)	1	3- 37+ 73-	1 3- -4  4  0  4 -4  0
Curve Equation t Generators 24309c1 [1,-1,0,-234,679] 2 [26:95:1] 24309c2 [1,-1,0,-1899,-30956] 2 [430:919:8]
24309d (2 curves)	1	3- 37+ 73-	-1 3-  0  0 -4 -4  0 -4
Curve Equation t Generators 24309d1 [1,-1,1,-1220,16278] 2 [26:27:1] 24309d2 [1,-1,1,-2885,-36336] 2 [-27:159:1]
24309e (2 curves)	1	3- 37+ 73-	-1 3-  2  2  2 -2 -6  0
Curve Equation t Generators 24309e1 [1,-1,1,-68834,-6844760] 2 [370:4085:1] 24309e2 [1,-1,1,-7229,-18697562] 2 [3359:192865:1]
24309f (6 curves)	0	3- 37- 73-	1 3-  2  0 -4  6  6 -4
Curve Equation t 24309f1 [1,-1,0,-38421,-1059480] 2 24309f2 [1,-1,0,-333666,73519407] 4 24309f3 [1,-1,0,-67581,187350570] 2 24309f4 [1,-1,0,-5323671,4729194072] 4 24309f5 [1,-1,0,-5308686,4757129109] 2 24309f6 [1,-1,0,-85178736,302604557535] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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