Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 4851.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4851.n1 | 4851g1 | \([1, -1, 0, 8811, 362074]\) | \(17999471/24057\) | \(-101100503071953\) | \([]\) | \(18816\) | \(1.3731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4851.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4851.n do not have complex multiplication.Modular form 4851.2.a.n
sage: E.q_eigenform(10)