Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 169065.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.n1 | 169065o1 | \([0, 0, 1, -1694118, -1369512261]\) | \(-30558612127744/28361896875\) | \(-499064099994782521875\) | \([]\) | \(4147200\) | \(2.6682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169065.n do not have complex multiplication.Modular form 169065.2.a.n
sage: E.q_eigenform(10)