Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 4598p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.n1 | 4598p1 | \([1, -1, 1, -375, 2885]\) | \(-48077951625/38\) | \(-4598\) | \([]\) | \(648\) | \(0.0091126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4598p do not have complex multiplication.Modular form 4598.2.a.p
sage: E.q_eigenform(10)