Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 337904n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
337904.n1 | 337904n1 | \([0, -1, 0, -2564, 51136]\) | \(-61918288/431\) | \(-12980920064\) | \([]\) | \(253440\) | \(0.77420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 337904n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 337904n do not have complex multiplication.Modular form 337904.2.a.n
sage: E.q_eigenform(10)