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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 4800.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4800.j1 | 4800bm1 | \([0, -1, 0, -43, -803]\) | \(-5624320/177147\) | \(-283435200\) | \([]\) | \(2112\) | \(0.30225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4800.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4800.j do not have complex multiplication.Modular form 4800.2.a.j
sage: E.q_eigenform(10)