Properties

Label 75150bo
Number of curves 1
Conductor 75150
CM no
Rank 2

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Show commands for: SageMath

sage: E = EllipticCurve("75150.be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.be1 75150bo1 [1, -1, 1, -545, 6257] [] 53760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150bo1 has rank \(2\).

Modular form 75150.2.a.be

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} - q^{7} + q^{8} - 2q^{11} - 6q^{13} - q^{14} + q^{16} - 6q^{17} + q^{19} + O(q^{20}) \)