Properties

Label 453152.bp
Number of curves $1$
Conductor $453152$
CM no
Rank $0$

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

Elliptic curves in class 453152.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
453152.bp1 453152bp1 \([0, -1, 0, -4720, 1089348]\) \(-392/17\) \(-504434254782976\) \([]\) \(1161216\) \(1.5013\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 453152.bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 453152.bp do not have complex multiplication.

Modular form 453152.2.a.bp

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