Properties

Label 150075bf
Number of curves $1$
Conductor $150075$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 150075bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
150075.u1 150075bf1 \([0, 0, 1, 810, -20689]\) \(119439360/444889\) \(-218918754675\) \([]\) \(104832\) \(0.85884\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 150075bf1 has rank \(1\).

Complex multiplication

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

Modular form 150075.2.a.bf

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{7} - 4 q^{11} - q^{13} + 4 q^{16} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display