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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 116886.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116886.d1 | 116886e1 | \([1, 1, 0, 41017, 384531]\) | \(4307673070511/2525789574\) | \(-4474590303505014\) | \([]\) | \(691200\) | \(1.6925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116886.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116886.d do not have complex multiplication.Modular form 116886.2.a.d
sage: E.q_eigenform(10)