Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 374790.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.f1 | 374790f1 | \([1, 1, 0, -95603663, 744372532917]\) | \(-117904499185849/223842949200\) | \(-183468013005526459618309200\) | \([]\) | \(138086400\) | \(3.7293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.f do not have complex multiplication.Modular form 374790.2.a.f
sage: E.q_eigenform(10)