Properties

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

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Show commands: SageMath
E = EllipticCurve("eh1")
 
E.isogeny_class()
 

Elliptic curves in class 110400eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.fv1 110400eh1 \([0, 1, 0, -20133, 1095363]\) \(-3525581824/9315\) \(-2384640000000\) \([]\) \(294912\) \(1.2500\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400eh1 has rank \(1\).

Complex multiplication

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

Modular form 110400.2.a.eh

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{7} + q^{9} + 6 q^{11} - 2 q^{13} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display