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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 287490d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 287490.d1 | 287490d1 | \([1, 1, 0, 21513807, 396958253013]\) | \(229012002719/14288400000\) | \(-68706976946855193651600000\) | \([]\) | \(116363520\) | \(3.6373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 287490d do not have complex multiplication.Modular form 287490.2.a.d
sage: E.q_eigenform(10)