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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 103488cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.p1 | 103488cc1 | \([0, -1, 0, 4930903, 2103918321]\) | \(110056273881297152/79587574568271\) | \(-9588120125831695236096\) | \([]\) | \(6451200\) | \(2.9063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103488cc do not have complex multiplication.Modular form 103488.2.a.cc
sage: E.q_eigenform(10)