Properties

Label 62400.bg
Number of curves $1$
Conductor $62400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 62400.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.bg1 62400fp1 \([0, -1, 0, -242453, 46811277]\) \(-769623354048512/15247889631\) \(-31227677964288000\) \([]\) \(537600\) \(1.9579\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 62400.bg do not have complex multiplication.

Modular form 62400.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 3 q^{11} - q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display