Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 110400cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.bd1 | 110400cc1 | \([0, -1, 0, -1608, 25362]\) | \(11502491200/207\) | \(8280000\) | \([]\) | \(47616\) | \(0.45407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400cc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 110400cc do not have complex multiplication.Modular form 110400.2.a.cc
sage: E.q_eigenform(10)