Properties

Label 324870da
Number of curves 1
Conductor 324870
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("324870.da1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 324870da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
324870.da1 324870da1 [1, 0, 1, -1453758, 674542768] [] 6773760 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324870da1 has rank \(1\).

Modular form 324870.2.a.da

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{8} + q^{9} - q^{10} + 6q^{11} + q^{12} + q^{13} + q^{15} + q^{16} - q^{17} - q^{18} - q^{19} + O(q^{20}) \)