Show commands:
SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 177600.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.ca1 | 177600in1 | \([0, -1, 0, 2367, -172863]\) | \(357911/3330\) | \(-13639680000000\) | \([]\) | \(368640\) | \(1.2016\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177600.ca do not have complex multiplication.Modular form 177600.2.a.ca
sage: E.q_eigenform(10)