Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 4800i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4800.y1 | 4800i1 | \([0, -1, 0, 17, 37]\) | \(12800/27\) | \(-1080000\) | \([]\) | \(576\) | \(-0.15799\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4800i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4800i do not have complex multiplication.Modular form 4800.2.a.i
sage: E.q_eigenform(10)