Show commands:
SageMath
E = EllipticCurve("hc1")
E.isogeny_class()
Elliptic curves in class 292032hc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
292032.hc1 | 292032hc1 | \([0, 0, 0, 9126, -118638]\) | \(1536\) | \(-54723502971072\) | \([]\) | \(673920\) | \(1.3250\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 292032hc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 292032hc do not have complex multiplication.Modular form 292032.2.a.hc
sage: E.q_eigenform(10)