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SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 139230.ec
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139230.ec1 | 139230b1 | \([1, -1, 1, -267017, 53174409]\) | \(-2888094474031216969/10826524800\) | \(-7892536579200\) | \([]\) | \(1128960\) | \(1.6899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139230.ec1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139230.ec do not have complex multiplication.Modular form 139230.2.a.ec
sage: E.q_eigenform(10)