Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 76050.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.bb1 76050bg1 \([1, -1, 0, -1255617, -541686339]\) \(-2488672890625/2426112\) \(-213421661587180800\) \([]\) \(1548288\) \(2.2459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050.bb1 has rank \(0\).

Complex multiplication

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

Modular form 76050.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 5 q^{11} + q^{14} + q^{16} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display