Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 150075.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.bg1 150075y1 \([0, 0, 1, -11550, 475281]\) \(14959673344/90045\) \(1025668828125\) \([]\) \(313344\) \(1.1440\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075.bg1 has rank \(1\).

Complex multiplication

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

Modular form 150075.2.a.bg

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + 5 q^{7} + 4 q^{13} + 4 q^{16} + 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display