Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 380926be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.be1 | 380926be1 | \([1, -1, 1, -41870289, -104319906687]\) | \(-2710010709/1472\) | \(-4409388660537339786944\) | \([]\) | \(101896704\) | \(3.1019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 380926be do not have complex multiplication.Modular form 380926.2.a.be
sage: E.q_eigenform(10)