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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 6534b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6534.n1 | 6534b1 | \([1, -1, 0, -6738, 952892]\) | \(-729/8\) | \(-371291875215624\) | \([]\) | \(28512\) | \(1.4777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6534b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6534b do not have complex multiplication.Modular form 6534.2.a.b
sage: E.q_eigenform(10)