Properties

Label 374544ba
Number of curves $1$
Conductor $374544$
CM no
Rank $1$

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

Elliptic curves in class 374544ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374544.ba1 374544ba1 \([0, 0, 0, -867, 4913]\) \(2304\) \(31282289424\) \([]\) \(245760\) \(0.71002\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374544ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 374544ba do not have complex multiplication.

Modular form 374544.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} + 5 q^{11} - 5 q^{13} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display