Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 75150u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.e1 75150u1 \([1, -1, 0, -27882, -1785074]\) \(-26306719916021/730458\) \(-66562985250\) \([]\) \(161280\) \(1.1796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150u1 has rank \(1\).

Complex multiplication

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

Modular form 75150.2.a.u

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