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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 43190.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43190.j1 | 43190g1 | \([1, -1, 1, -686103, 225311111]\) | \(-35718324094664888401089/1226817412900798040\) | \(-1226817412900798040\) | \([]\) | \(815040\) | \(2.2443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43190.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43190.j do not have complex multiplication.Modular form 43190.2.a.j
sage: E.q_eigenform(10)