Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 299538.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.m1 | 299538m1 | \([1, -1, 0, -26340, -1608112]\) | \(47832147/1024\) | \(43267358297088\) | \([]\) | \(1235520\) | \(1.4055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 299538.m do not have complex multiplication.Modular form 299538.2.a.m
sage: E.q_eigenform(10)