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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 320892j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320892.j1 | 320892j1 | \([0, -1, 0, -423394044, -3353106636504]\) | \(-2239480268659352677250512/2467804862588949\) | \(-9249569534250189391104\) | \([]\) | \(81861120\) | \(3.5015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320892j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 320892j do not have complex multiplication.Modular form 320892.2.a.j
sage: E.q_eigenform(10)