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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 762.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
762.d1 | 762d1 | \([1, 1, 1, -21, 27]\) | \(1027243729/36576\) | \(36576\) | \([]\) | \(80\) | \(-0.35392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 762.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 762.d do not have complex multiplication.Modular form 762.2.a.d
sage: E.q_eigenform(10)