Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 3525.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3525.m1 | 3525d1 | \([0, -1, 1, -308, 893]\) | \(207474688/102789\) | \(1606078125\) | \([]\) | \(3024\) | \(0.45945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3525.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3525.m do not have complex multiplication.Modular form 3525.2.a.m
sage: E.q_eigenform(10)