Properties

Label 46800.dg
Number of curves $1$
Conductor $46800$
CM no
Rank $1$

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

Elliptic curves in class 46800.dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.dg1 46800cv1 \([0, 0, 0, -1294635, -602229670]\) \(-3214683778008145/238496514048\) \(-17803669375077580800\) \([]\) \(741888\) \(2.4427\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800.dg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46800.dg do not have complex multiplication.

Modular form 46800.2.a.dg

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