Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 64974.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64974.q1 | 64974bc1 | \([1, 0, 1, 2886, 160108]\) | \(54279134491799/256736428416\) | \(-12580084992384\) | \([]\) | \(161280\) | \(1.1959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64974.q do not have complex multiplication.Modular form 64974.2.a.q
sage: E.q_eigenform(10)