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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 10350.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10350.j1 | 10350x1 | \([1, -1, 0, -45042, -3664684]\) | \(22180666338225/24117248\) | \(10988421120000\) | \([]\) | \(46080\) | \(1.4178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10350.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10350.j do not have complex multiplication.Modular form 10350.2.a.j
sage: E.q_eigenform(10)