Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 109554r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.s1 | 109554r1 | \([1, 1, 1, -4732, -127267]\) | \(-12193833718273/525312\) | \(-504824832\) | \([]\) | \(97200\) | \(0.74896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 109554r do not have complex multiplication.Modular form 109554.2.a.r
sage: E.q_eigenform(10)