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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 53361.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.v1 | 53361l1 | \([0, 0, 1, -5082, -314449]\) | \(-6193152/14641\) | \(-34315212747123\) | \([]\) | \(161280\) | \(1.2855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53361.v do not have complex multiplication.Modular form 53361.2.a.v
sage: E.q_eigenform(10)