Properties

Label 338800dg
Number of curves $1$
Conductor $338800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dg1")
 
E.isogeny_class()
 

Elliptic curves in class 338800dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338800.dg1 338800dg1 \([0, 0, 0, -15125, 831875]\) \(-34560/7\) \(-77505793750000\) \([]\) \(856800\) \(1.3876\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338800dg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338800dg do not have complex multiplication.

Modular form 338800.2.a.dg

sage: E.q_eigenform(10)
 
\(q - q^{7} - 3 q^{9} - 6 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display