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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 177744bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177744.z1 | 177744bt1 | \([0, -1, 0, 14107, 507213]\) | \(512000/483\) | \(-292869465649152\) | \([]\) | \(422400\) | \(1.4631\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177744bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177744bt do not have complex multiplication.Modular form 177744.2.a.bt
sage: E.q_eigenform(10)