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SageMath
E = EllipticCurve("fd1")
E.isogeny_class()
Elliptic curves in class 450800.fd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.fd1 | 450800fd1 | \([0, 1, 0, -755008, 607758388]\) | \(-158034076225/438790688\) | \(-132155611270430720000\) | \([]\) | \(11059200\) | \(2.5481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.fd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800.fd do not have complex multiplication.Modular form 450800.2.a.fd
sage: E.q_eigenform(10)