Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 7840m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7840.k1 | 7840m1 | \([0, -1, 0, -65, 337]\) | \(-153664/125\) | \(-25088000\) | \([]\) | \(1152\) | \(0.11797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7840m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7840m do not have complex multiplication.Modular form 7840.2.a.m
sage: E.q_eigenform(10)