Properties

Label 2352.g
Number of curves $1$
Conductor $2352$
CM no
Rank $1$

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

Elliptic curves in class 2352.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2352.g1 2352a1 \([0, -1, 0, 1944, 73872]\) \(68782/243\) \(-2868933924864\) \([]\) \(3360\) \(1.0734\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2352.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2352.g do not have complex multiplication.

Modular form 2352.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} + 4 q^{13} + q^{15} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display