Show commands:
SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 92400.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.bv1 | 92400bl1 | \([0, -1, 0, -168833, -22806963]\) | \(5322287088640/821843253\) | \(82184325300000000\) | \([]\) | \(806400\) | \(1.9691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.bv do not have complex multiplication.Modular form 92400.2.a.bv
sage: E.q_eigenform(10)