Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 63525.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63525.n1 | 63525s1 | \([1, 1, 1, -190638, -881409594]\) | \(-3025/1323\) | \(-335109499483623046875\) | \([]\) | \(3041280\) | \(2.6175\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63525.n do not have complex multiplication.Modular form 63525.2.a.n
sage: E.q_eigenform(10)