Properties

Label 10350.j
Number of curves $1$
Conductor $10350$
CM no
Rank $0$

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Show commands: 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)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} + 3 q^{11} - 3 q^{13} + q^{14} + q^{16} + 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display