Properties

Label 327600gh
Number of curves $1$
Conductor $327600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gh1")
 
E.isogeny_class()
 

Elliptic curves in class 327600gh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327600.gh1 327600gh1 \([0, 0, 0, -5268675, 4884673250]\) \(-693346671296498/40610171875\) \(-947354089500000000000\) \([]\) \(17971200\) \(2.7810\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327600gh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 327600gh do not have complex multiplication.

Modular form 327600.2.a.gh

sage: E.q_eigenform(10)
 
\(q - q^{7} + 5 q^{11} + q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display