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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 2800.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2800.be1 | 2800q1 | \([0, 0, 0, 800, -26500]\) | \(14155776/84035\) | \(-336140000000\) | \([]\) | \(5760\) | \(0.89365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2800.be do not have complex multiplication.Modular form 2800.2.a.be
sage: E.q_eigenform(10)