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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 350658cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.cc1 | 350658cc1 | \([1, -1, 0, -1344393, 12618187357]\) | \(-1719624451633/439139480976\) | \(-68623283406058451787024\) | \([]\) | \(36765696\) | \(3.0611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658cc do not have complex multiplication.Modular form 350658.2.a.cc
sage: E.q_eigenform(10)