Properties

Label 30345.n
Number of curves 1
Conductor 30345
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("30345.n1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30345.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30345.n1 30345e1 [0, -1, 1, 232549, 34932476] [] 470016 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30345.n1 has rank \(0\).

Modular form 30345.2.a.n

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{4} - q^{5} + q^{7} + q^{9} + 6q^{11} + 2q^{12} + 5q^{13} + q^{15} + 4q^{16} + O(q^{20}) \)