Properties

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

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Show commands for: SageMath

sage: E = EllipticCurve("75150.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 75150.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
75150.e1 75150u1 [1, -1, 0, -27882, -1785074] [] 161280 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150.e1 has rank \(1\).

Modular form 75150.2.a.e

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - 3q^{7} - q^{8} - 2q^{11} + 6q^{13} + 3q^{14} + q^{16} - 2q^{17} + q^{19} + O(q^{20}) \)