Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 26569b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26569.b1 | 26569b1 | \([0, 0, 1, -53138, -5413434]\) | \(-884736/163\) | \(-3057125241215467\) | \([]\) | \(159408\) | \(1.6960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26569b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26569b do not have complex multiplication.Modular form 26569.2.a.b
sage: E.q_eigenform(10)