Properties

Label 4704g
Number of curves $1$
Conductor $4704$
CM no
Rank $0$

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

Elliptic curves in class 4704g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.b1 4704g1 \([0, -1, 0, -72, -216]\) \(-1668296/27\) \(-677376\) \([]\) \(864\) \(-0.080772\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4704g do not have complex multiplication.

Modular form 4704.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - q^{11} + 4 q^{13} + 3 q^{15} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display