Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 290145.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.q1 | 290145q1 | \([0, 1, 1, -43171, -3448949]\) | \(14959673344/90045\) | \(53560865939445\) | \([]\) | \(1370880\) | \(1.4736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 290145.q do not have complex multiplication.Modular form 290145.2.a.q
sage: E.q_eigenform(10)