Properties

Label 150075.n
Number of curves $1$
Conductor $150075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 150075.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.n1 150075p1 \([0, 0, 1, -137248050, -618831497844]\) \(25101212833837967048704/2339617030153125\) \(26649700234087939453125\) \([]\) \(16128000\) \(3.3410\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 150075.n do not have complex multiplication.

Modular form 150075.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{7} - 4 q^{11} + 4 q^{16} - 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display