Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 48510.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48510.r1 | 48510m1 | \([1, -1, 0, -450, 2455060]\) | \(-2401/619520\) | \(-2603557536814080\) | \([]\) | \(302400\) | \(1.6369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48510.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 48510.r do not have complex multiplication.Modular form 48510.2.a.r
sage: E.q_eigenform(10)