Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 22800cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.o1 | 22800cc1 | \([0, -1, 0, -18, 27]\) | \(1703680/513\) | \(205200\) | \([]\) | \(1728\) | \(-0.27546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22800cc do not have complex multiplication.Modular form 22800.2.a.cc
sage: E.q_eigenform(10)