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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 448844.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 448844.f1 | 448844f1 | \([0, 0, 0, -416241604, -3268641255811]\) | \(-4512595968/11\) | \(-19441349407237199376176\) | \([]\) | \(187104924\) | \(3.5169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 448844.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 448844.f do not have complex multiplication.Modular form 448844.2.a.f
sage: E.q_eigenform(10)