Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 116242.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.r1 | 116242v1 | \([1, 1, 1, -910, 37623]\) | \(-1771561/12236\) | \(-575653399916\) | \([]\) | \(126720\) | \(0.93983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.r do not have complex multiplication.Modular form 116242.2.a.r
sage: E.q_eigenform(10)