Properties

Label 75150.c
Number of curves 1
Conductor 75150
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("75150.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.c1 75150v1 [1, -1, 0, 4743, -71699] [] 188416 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.c1 has rank \(1\).

Modular form 75150.2.a.c

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