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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 193600.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.cc1 | 193600be1 | \([0, 1, 0, 11092, -538562]\) | \(704\) | \(-214358881000000\) | \([]\) | \(591360\) | \(1.4355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600.cc do not have complex multiplication.Modular form 193600.2.a.cc
sage: E.q_eigenform(10)