Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("75150.w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.w1 75150x1 [1, -1, 0, -2727, 380781] [] 374784 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150x1 has rank \(2\).

Modular form 75150.2.a.w

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} + 4q^{7} - q^{8} - 5q^{11} - 3q^{13} - 4q^{14} + q^{16} - 7q^{17} - 3q^{19} + O(q^{20}) \)