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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 360640.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360640.db1 | 360640db1 | \([0, -1, 0, -35345, -5028743]\) | \(-40535147776/67648175\) | \(-8149749903948800\) | \([]\) | \(1474560\) | \(1.7439\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360640.db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360640.db do not have complex multiplication.Modular form 360640.2.a.db
sage: E.q_eigenform(10)