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SageMath
E = EllipticCurve("jj1")
E.isogeny_class()
Elliptic curves in class 78400.jj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.jj1 | 78400ie1 | \([0, -1, 0, 2287, 24137]\) | \(1280\) | \(-1033052339200\) | \([]\) | \(86016\) | \(0.99330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.jj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400.jj do not have complex multiplication.Modular form 78400.2.a.jj
sage: E.q_eigenform(10)