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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 33327.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.j1 | 33327h1 | \([1, -1, 0, -306, -2079]\) | \(-8231953/441\) | \(-170067681\) | \([]\) | \(10752\) | \(0.33812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33327.j do not have complex multiplication.Modular form 33327.2.a.j
sage: E.q_eigenform(10)