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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 42483z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
42483.a1 | 42483z1 | \([0, 1, 1, -599482, -209705660]\) | \(-8390176768/1821771\) | \(-5173393973086122651\) | \([]\) | \(1548288\) | \(2.3118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42483z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42483z do not have complex multiplication.Modular form 42483.2.a.z
sage: E.q_eigenform(10)