Properties

Label 110400gp
Number of curves $1$
Conductor $110400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gp1")
 
E.isogeny_class()
 

Elliptic curves in class 110400gp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.t1 110400gp1 \([0, -1, 0, -3460833, -1573070463]\) \(1790712239425/618098688\) \(1582332641280000000000\) \([]\) \(4423680\) \(2.7695\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400gp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 110400gp do not have complex multiplication.

Modular form 110400.2.a.gp

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - q^{11} - 3 q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display