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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 33327.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.d1 | 33327p1 | \([1, -1, 1, -824, 9254]\) | \(160261033/1029\) | \(396824589\) | \([]\) | \(13824\) | \(0.48651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 33327.d do not have complex multiplication.Modular form 33327.2.a.d
sage: E.q_eigenform(10)