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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 33327q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.q1 | 33327q1 | \([0, 0, 1, 4209, -65993]\) | \(929714176/750141\) | \(-6653557883763\) | \([]\) | \(80640\) | \(1.1484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33327q do not have complex multiplication.Modular form 33327.2.a.q
sage: E.q_eigenform(10)