Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3528.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3528.f1 | 3528u1 | \([0, 0, 0, -4116, 278516]\) | \(-7168/27\) | \(-29047955989248\) | \([]\) | \(8064\) | \(1.2690\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3528.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3528.f do not have complex multiplication.Modular form 3528.2.a.f
sage: E.q_eigenform(10)