Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 16562.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.r1 | 16562g1 | \([1, 0, 1, -342060, 76973418]\) | \(-2673465150439/6656\) | \(-11019643561472\) | \([]\) | \(145152\) | \(1.7414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16562.r do not have complex multiplication.Modular form 16562.2.a.r
sage: E.q_eigenform(10)