Properties

Label 75150bu
Number of curves $1$
Conductor $75150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 75150bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.bq1 75150bu1 \([1, -1, 1, -697055, -223831303]\) \(-26306719916021/730458\) \(-1040046644531250\) \([]\) \(806400\) \(1.9843\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75150bu do not have complex multiplication.

Modular form 75150.2.a.bu

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