Properties

Label 334620.bp
Number of curves $1$
Conductor $334620$
CM no
Rank $0$

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

Elliptic curves in class 334620.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.bp1 334620bp1 \([0, 0, 0, -27201663372, -1722696194841739]\) \(233946077598763088625664/642277364501953125\) \(6111065604643171245175781250000\) \([]\) \(654151680\) \(4.7805\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 334620.bp do not have complex multiplication.

Modular form 334620.2.a.bp

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