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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 328560.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.l1 | 328560l1 | \([0, -1, 0, -6297856, 4719848416]\) | \(3840238658/885735\) | \(6371586025715132282880\) | \([]\) | \(17816832\) | \(2.8961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 328560.l do not have complex multiplication.Modular form 328560.2.a.l
sage: E.q_eigenform(10)