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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 450800j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.j1 | 450800j1 | \([0, 1, 0, -18048, -468812]\) | \(53969305/23552\) | \(283737010995200\) | \([]\) | \(2177280\) | \(1.4693\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800j do not have complex multiplication.Modular form 450800.2.a.j
sage: E.q_eigenform(10)