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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 747.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
747.d1 | 747d1 | \([1, -1, 0, 9, 4]\) | \(103823/83\) | \(-60507\) | \([]\) | \(60\) | \(-0.39456\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 747.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 747.d do not have complex multiplication.Modular form 747.2.a.d
sage: E.q_eigenform(10)