Properties

Label 225302.bp
Number of curves $1$
Conductor $225302$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 225302.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
225302.bp1 225302a1 \([1, -1, 1, -2190, 40989]\) \(-81563625/2432\) \(-34620806528\) \([]\) \(580608\) \(0.80057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 225302.bp1 has rank \(2\).

Complex multiplication

The elliptic curves in class 225302.bp do not have complex multiplication.

Modular form 225302.2.a.bp

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} + q^{8} + 6 q^{9} - 3 q^{12} - 7 q^{13} + q^{16} + 7 q^{17} + 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display