Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("75150.bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.bc1 75150bt1 [1, -1, 1, -95, -493] [] 22272 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150bt1 has rank \(1\).

Modular form 75150.2.a.bc

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