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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 6534r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6534.q1 | 6534r1 | \([1, -1, 1, -749, -35043]\) | \(-729/8\) | \(-509316701256\) | \([]\) | \(9504\) | \(0.92840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6534r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6534r do not have complex multiplication.Modular form 6534.2.a.r
sage: E.q_eigenform(10)