Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 22696.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22696.a1 | 22696a1 | \([0, 1, 0, -105, 379]\) | \(504871936/2837\) | \(726272\) | \([]\) | \(8768\) | \(-0.033181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22696.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 22696.a do not have complex multiplication.Modular form 22696.2.a.a
sage: E.q_eigenform(10)