Properties

Label 4410.g
Number of curves $1$
Conductor $4410$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 4410.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4410.g1 4410f1 \([1, -1, 0, -15885, 783621]\) \(-105484561/1440\) \(-6051657497760\) \([]\) \(13440\) \(1.2595\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4410.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4410.g do not have complex multiplication.

Modular form 4410.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + q^{11} + 7 q^{13} + q^{16} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display