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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 55506.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55506.v1 | 55506w1 | \([1, 0, 1, 3070473, -2076664142]\) | \(220677361507/256158936\) | \(-3716135077575284715384\) | \([]\) | \(3819648\) | \(2.8252\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55506.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55506.v do not have complex multiplication.Modular form 55506.2.a.v
sage: E.q_eigenform(10)