Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 21294bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21294.m1 | 21294bf1 | \([1, -1, 0, -165060, 26192362]\) | \(-141339344329/2167074\) | \(-7625378117125314\) | \([]\) | \(161280\) | \(1.8500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21294bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21294bf do not have complex multiplication.Modular form 21294.2.a.bf
sage: E.q_eigenform(10)