Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 864f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
864.l1 | 864f1 | \([0, 0, 0, -24, -48]\) | \(-13824\) | \(-110592\) | \([]\) | \(96\) | \(-0.28260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 864f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 864f do not have complex multiplication.Modular form 864.2.a.f
sage: E.q_eigenform(10)