Properties

Label 76050cn
Number of curves $1$
Conductor $76050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 76050cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.bc1 76050cn1 \([1, -1, 0, 75258, -76785084]\) \(34295/1872\) \(-2573081375231250000\) \([]\) \(1290240\) \(2.2123\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050cn1 has rank \(1\).

Complex multiplication

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

Modular form 76050.2.a.cn

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