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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 190575.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.cc1 | 190575bj1 | \([1, -1, 1, 670, -37078]\) | \(24167/441\) | \(-607815140625\) | \([]\) | \(248832\) | \(0.94154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.cc do not have complex multiplication.Modular form 190575.2.a.cc
sage: E.q_eigenform(10)