Properties

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

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 76050bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.s1 76050bq1 \([1, -1, 0, -618287292, -5977274142384]\) \(-2813198004118489/33177600000\) \(-308275733403705600000000000\) \([]\) \(40734720\) \(3.8953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050bq1 has rank \(0\).

Complex multiplication

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

Modular form 76050.2.a.bq

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