Properties

Label 258570.bl
Number of curves $1$
Conductor $258570$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 258570.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
258570.bl1 258570bl1 \([1, -1, 0, -6525, -197339]\) \(249395415529/5508000\) \(678591108000\) \([]\) \(460800\) \(1.0581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 258570.bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 258570.bl do not have complex multiplication.

Modular form 258570.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3 q^{7} - q^{8} + q^{10} - q^{11} - 3 q^{14} + q^{16} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display