Show commands:
SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 77760bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77760.dv1 | 77760bm1 | \([0, 0, 0, 108, -126]\) | \(995328/625\) | \(-87480000\) | \([]\) | \(17280\) | \(0.21296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77760bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77760bm do not have complex multiplication.Modular form 77760.2.a.bm
sage: E.q_eigenform(10)