Properties

Label 379050.da
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("da1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.da1 379050da1 \([1, 0, 1, -796971766, 8664039408008]\) \(-47598241178539673499145/26807802601531392\) \(-31529917276578407144908800\) \([]\) \(228096000\) \(3.8397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.da1 has rank \(1\).

Complex multiplication

The elliptic curves in class 379050.da do not have complex multiplication.

Modular form 379050.2.a.da

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} + q^{9} - 2 q^{11} + q^{12} + 3 q^{13} + q^{14} + q^{16} - 7 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display