Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 64400cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.u1 | 64400cc1 | \([0, -1, 0, -15408, -1767488]\) | \(-158034076225/438790688\) | \(-1123304161280000\) | \([]\) | \(230400\) | \(1.5752\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400cc do not have complex multiplication.Modular form 64400.2.a.cc
sage: E.q_eigenform(10)