Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 76050.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.bl1 76050ch1 \([1, -1, 0, 6813, -779]\) \(13436683/7776\) \(-20237981868000\) \([]\) \(192000\) \(1.2427\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050.bl1 has rank \(1\).

Complex multiplication

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

Modular form 76050.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 3 q^{11} + q^{16} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display