Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 129285.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129285.m1 | 129285o1 | \([0, 0, 1, -990678, -612419792]\) | \(-30558612127744/28361896875\) | \(-99798247679031646875\) | \([]\) | \(2419200\) | \(2.5340\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129285.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129285.m do not have complex multiplication.Modular form 129285.2.a.m
sage: E.q_eigenform(10)