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SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 124848.ec
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124848.ec1 | 124848l1 | \([0, 0, 0, -3468, -98260]\) | \(-3072\) | \(-1501549892352\) | \([]\) | \(236544\) | \(1.0490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124848.ec1 has rank \(1\).
Complex multiplication
The elliptic curves in class 124848.ec do not have complex multiplication.Modular form 124848.2.a.ec
sage: E.q_eigenform(10)