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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2006d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2006.a1 | 2006d1 | \([1, 1, 0, -88, 284]\) | \(-76711450249/68204\) | \(-68204\) | \([]\) | \(384\) | \(-0.14743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2006d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 2006d do not have complex multiplication.Modular form 2006.2.a.d
sage: E.q_eigenform(10)