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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 177870.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.cc1 | 177870id1 | \([1, 1, 0, -361792, -96505856]\) | \(-1231272543361/230400000\) | \(-980010538214400000\) | \([]\) | \(3712800\) | \(2.1765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870.cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177870.cc do not have complex multiplication.Modular form 177870.2.a.cc
sage: E.q_eigenform(10)