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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 350658cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.cd1 | 350658cd1 | \([1, -1, 0, -3859983, -3164392467]\) | \(-595911384446123713/60681357950976\) | \(-647669670323214680064\) | \([]\) | \(27131904\) | \(2.7331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658cd do not have complex multiplication.Modular form 350658.2.a.cd
sage: E.q_eigenform(10)