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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 252700.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
252700.cc1 | 252700cc1 | \([0, 0, 0, -14440, -685900]\) | \(-221184/7\) | \(-10538277344000\) | \([]\) | \(870912\) | \(1.2750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 252700.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 252700.cc do not have complex multiplication.Modular form 252700.2.a.cc
sage: E.q_eigenform(10)