Properties

Label 25152bf
Number of curves $1$
Conductor $25152$
CM no
Rank $1$

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

Elliptic curves in class 25152bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25152.p1 25152bf1 \([0, -1, 0, -55105, -4910111]\) \(70593496254289/824180736\) \(216054034857984\) \([]\) \(96768\) \(1.5628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25152bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25152bf do not have complex multiplication.

Modular form 25152.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 3 q^{7} + q^{9} + q^{11} + 2 q^{13} - q^{15} - 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display