Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 432.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
432.f1 | 432c1 | \([0, 0, 0, -27, -918]\) | \(-6\) | \(-362797056\) | \([]\) | \(144\) | \(0.32179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 432.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 432.f do not have complex multiplication.Modular form 432.2.a.f
sage: E.q_eigenform(10)