Properties

Label 182520.bp
Number of curves $1$
Conductor $182520$
CM no
Rank $1$

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

Elliptic curves in class 182520.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182520.bp1 182520s1 \([0, 0, 0, -278343, 58903767]\) \(-1568892672/78125\) \(-118757601933750000\) \([]\) \(2177280\) \(2.0375\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182520.bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 182520.bp do not have complex multiplication.

Modular form 182520.2.a.bp

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