Properties

Label 212415bs
Number of curves 1
Conductor 212415
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("212415.bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 212415bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
212415.bg1 212415bs1 [0, -1, 1, -67404254731, -6736717048591188] [] 580608000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212415bs1 has rank \(0\).

Modular form 212415.2.a.bg

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