Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 58800.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.r1 | 58800l1 | \([0, -1, 0, -1633, 48637]\) | \(-50176/75\) | \(-720300000000\) | \([]\) | \(92160\) | \(0.96698\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.r do not have complex multiplication.Modular form 58800.2.a.r
sage: E.q_eigenform(10)