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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4114.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4114.d1 | 4114d1 | \([1, -1, 1, -1, 3]\) | \(-297/34\) | \(-4114\) | \([]\) | \(240\) | \(-0.62700\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4114.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4114.d do not have complex multiplication.Modular form 4114.2.a.d
sage: E.q_eigenform(10)