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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 76440.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.be1 | 76440by1 | \([0, -1, 0, 81520, -852228]\) | \(10149078716/5923125\) | \(-34965132209280000\) | \([]\) | \(451584\) | \(1.8639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440.be do not have complex multiplication.Modular form 76440.2.a.be
sage: E.q_eigenform(10)