Properties

Label 372400.bp
Number of curves $1$
Conductor $372400$
CM no
Rank $1$

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

Elliptic curves in class 372400.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372400.bp1 372400bp1 \([0, 1, 0, -11433, 1107763]\) \(-7168/19\) \(-438124876000000\) \([]\) \(1032192\) \(1.4970\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372400.bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 372400.bp do not have complex multiplication.

Modular form 372400.2.a.bp

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + q^{11} + 4 q^{13} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display