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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 6534.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6534.d1 | 6534l1 | \([1, -1, 0, 522, 22644]\) | \(4416621/65536\) | \(-233161555968\) | \([]\) | \(5760\) | \(0.86190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6534.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6534.d do not have complex multiplication.Modular form 6534.2.a.d
sage: E.q_eigenform(10)