Properties

Label 110400.p
Number of curves $1$
Conductor $110400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 110400.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.p1 110400p1 \([0, -1, 0, -40208, -3089838]\) \(11502491200/207\) \(129375000000\) \([]\) \(238080\) \(1.2588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400.p1 has rank \(1\).

Complex multiplication

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

Modular form 110400.2.a.p

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