Show commands:
SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 134640.bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.bv1 | 134640ce1 | \([0, 0, 0, 111957, -213509158]\) | \(51974460932759/6625297800000\) | \(-19783033226035200000\) | \([]\) | \(3041280\) | \(2.3820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640.bv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640.bv do not have complex multiplication.Modular form 134640.2.a.bv
sage: E.q_eigenform(10)