Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 300560.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
300560.n1 | 300560n1 | \([0, -1, 0, -5294576, -4703480384]\) | \(-574468255729/2284880\) | \(-65285196438700359680\) | \([]\) | \(7990272\) | \(2.6593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 300560.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 300560.n do not have complex multiplication.Modular form 300560.2.a.n
sage: E.q_eigenform(10)