Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("75150.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.d1 75150o1 [1, -1, 0, 126783, -5557059] [] 953856 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.d1 has rank \(1\).

Modular form 75150.2.a.d

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - 3q^{7} - q^{8} - 6q^{11} - 2q^{13} + 3q^{14} + q^{16} + O(q^{20}) \)