Properties

Label 75150s
Number of curves 1
Conductor 75150
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("75150.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.l1 75150s1 [1, -1, 0, 542133, 66765541] [] 2163200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150s1 has rank \(1\).

Modular form 75150.2.a.l

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{7} - q^{8} + 6q^{11} + 2q^{13} + q^{14} + q^{16} - 2q^{17} + 5q^{19} + O(q^{20}) \)