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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 247962d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 247962.d1 | 247962d1 | \([1, 1, 0, 1584, 363204]\) | \(18191447/2362932\) | \(-57035434192308\) | \([]\) | \(691200\) | \(1.3189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 247962d do not have complex multiplication.Modular form 247962.2.a.d
sage: E.q_eigenform(10)