Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 380926.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.n1 | 380926n1 | \([1, -1, 0, -62477, 10817925]\) | \(-570375/736\) | \(-34802100550296352\) | \([]\) | \(3244800\) | \(1.8671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380926.n do not have complex multiplication.Modular form 380926.2.a.n
sage: E.q_eigenform(10)