Properties

Label 47432.g
Number of curves $1$
Conductor $47432$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 47432.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47432.g1 47432d1 \([0, -1, 0, 719, 5909]\) \(1024\) \(-40087249664\) \([]\) \(27648\) \(0.72155\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47432.g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 47432.g do not have complex multiplication.

Modular form 47432.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} + 4 q^{13} + q^{15} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display