Properties

Label 76050.j
Number of curves $1$
Conductor $76050$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 76050.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.j1 76050bt1 \([1, -1, 0, 455508, -1306513584]\) \(304175/21632\) \(-743334619511250000000\) \([]\) \(4233600\) \(2.6844\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 76050.j do not have complex multiplication.

Modular form 76050.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 4 q^{7} - q^{8} + q^{11} + 4 q^{14} + q^{16} - 7 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display