Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 187200.cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.cc1 | 187200l1 | \([0, 0, 0, -2182080, -1261722400]\) | \(-769623354048512/15247889631\) | \(-22764977235965952000\) | \([]\) | \(4300800\) | \(2.5072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.cc do not have complex multiplication.Modular form 187200.2.a.cc
sage: E.q_eigenform(10)