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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 177744.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177744.be1 | 177744by1 | \([0, -1, 0, -705, 7308]\) | \(8667136/189\) | \(846239184\) | \([]\) | \(76032\) | \(0.50129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177744.be1 has rank \(2\).
Complex multiplication
The elliptic curves in class 177744.be do not have complex multiplication.Modular form 177744.2.a.be
sage: E.q_eigenform(10)