Show commands:
SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 66240cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66240.ct1 | 66240cb1 | \([0, 0, 0, -7248, -238048]\) | \(-3525581824/9315\) | \(-111257763840\) | \([]\) | \(98304\) | \(0.99463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66240cb do not have complex multiplication.Modular form 66240.2.a.cb
sage: E.q_eigenform(10)