Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 55545k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55545.n1 | 55545k1 | \([0, 1, 1, -61, -230]\) | \(-48234496/7875\) | \(-4165875\) | \([]\) | \(9216\) | \(-0.0022547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55545k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55545k do not have complex multiplication.Modular form 55545.2.a.k
sage: E.q_eigenform(10)