Show commands:
SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 78400bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.hm1 | 78400bf1 | \([0, 1, 0, -80033, -8118937]\) | \(12544\) | \(4519603984000000\) | \([]\) | \(376320\) | \(1.7474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400bf do not have complex multiplication.Modular form 78400.2.a.bf
sage: E.q_eigenform(10)