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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3240.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3240.d1 | 3240e1 | \([0, 0, 0, -12, 4]\) | \(9216/5\) | \(103680\) | \([]\) | \(192\) | \(-0.34664\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3240.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3240.d do not have complex multiplication.Modular form 3240.2.a.d
sage: E.q_eigenform(10)