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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 286110.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.cc1 | 286110cc1 | \([1, -1, 0, -43404, -16582960]\) | \(-19034163/239360\) | \(-113719881097278720\) | \([]\) | \(3096576\) | \(1.9545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110.cc do not have complex multiplication.Modular form 286110.2.a.cc
sage: E.q_eigenform(10)