Show commands:
SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 26520.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26520.be1 | 26520h1 | \([0, 1, 0, -13345, -5497117]\) | \(-1026767289066496/50316682419315\) | \(-12881070699344640\) | \([]\) | \(212160\) | \(1.7712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26520.be do not have complex multiplication.Modular form 26520.2.a.be
sage: E.q_eigenform(10)