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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 117117.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117117.d1 | 117117c1 | \([0, 0, 1, 39, 42]\) | \(110592/77\) | \(-4567563\) | \([]\) | \(33408\) | \(-0.033583\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117117.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 117117.d do not have complex multiplication.Modular form 117117.2.a.d
sage: E.q_eigenform(10)