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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 756.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 756.d1 | 756a1 | \([0, 0, 0, -432, 3348]\) | \(196608/7\) | \(317447424\) | \([]\) | \(216\) | \(0.40181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 756.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 756.d do not have complex multiplication.Modular form 756.2.a.d
sage: E.q_eigenform(10)