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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 6534x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6534.ba1 | 6534x1 | \([1, -1, 1, 4696, -616085]\) | \(4416621/65536\) | \(-169974774300672\) | \([]\) | \(17280\) | \(1.4112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6534x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6534x do not have complex multiplication.Modular form 6534.2.a.x
sage: E.q_eigenform(10)