Properties

Label 422370.ba
Number of curves $1$
Conductor $422370$
CM no
Rank $1$

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

Elliptic curves in class 422370.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422370.ba1 422370ba1 \([1, -1, 0, -7335, 256261]\) \(-165852736201/10281960\) \(-2705893131240\) \([]\) \(940032\) \(1.1398\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422370.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 422370.ba do not have complex multiplication.

Modular form 422370.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 5 q^{11} - q^{13} - q^{14} + q^{16} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display