Show commands:
SageMath
E = EllipticCurve("fs1")
E.isogeny_class()
Elliptic curves in class 271040fs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271040.fs1 | 271040fs1 | \([0, 1, 0, -645, -49117]\) | \(-1024/35\) | \(-1015883939840\) | \([]\) | \(304640\) | \(0.98419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271040fs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271040fs do not have complex multiplication.Modular form 271040.2.a.fs
sage: E.q_eigenform(10)