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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 8085.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8085.d1 | 8085o1 | \([0, 1, 1, -16, -2810]\) | \(-4096/28875\) | \(-3397114875\) | \([]\) | \(6912\) | \(0.50777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8085.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8085.d do not have complex multiplication.Modular form 8085.2.a.d
sage: E.q_eigenform(10)