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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3330d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3330.g1 | 3330d1 | \([1, -1, 0, -560994, 164964500]\) | \(-991990479802737267/22190066240000\) | \(-436767073801920000\) | \([]\) | \(51840\) | \(2.1733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3330d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3330d do not have complex multiplication.Modular form 3330.2.a.d
sage: E.q_eigenform(10)