Properties

Label 735.a
Number of curves 1
Conductor 735
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("735.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 735.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
735.a1 735b1 [0, -1, 1, -15206, -1184338] [] 4704 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 735.a1 has rank \(0\).

Modular form 735.2.a.a

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