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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 117600j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.b1 | 117600j1 | \([0, -1, 0, 22867, 881637]\) | \(3584/3\) | \(-1106841792000000\) | \([]\) | \(537600\) | \(1.5744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600j do not have complex multiplication.Modular form 117600.2.a.j
sage: E.q_eigenform(10)