Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 23826.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23826.r1 | 23826o1 | \([1, 0, 1, 714, -1058648]\) | \(2375/28512\) | \(-484235349424992\) | \([]\) | \(136800\) | \(1.4967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23826.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23826.r do not have complex multiplication.Modular form 23826.2.a.r
sage: E.q_eigenform(10)