Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 4410.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4410.ba1 4410bc1 \([1, -1, 1, -270563, 144803747]\) \(-10637008249/37791360\) \(-7782165269189458560\) \([]\) \(94080\) \(2.3108\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4410.ba1 has rank \(0\).

Complex multiplication

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

Modular form 4410.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{8} - q^{10} + q^{11} - q^{13} + q^{16} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display