Properties

Label 30345.p
Number of curves 1
Conductor 30345
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("30345.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30345.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30345.p1 30345w1 [0, 1, 1, -10211, 583745] [] 69120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30345.p1 has rank \(1\).

Modular form 30345.2.a.p

sage: E.q_eigenform(10)
 
\( q + q^{3} - 2q^{4} - q^{5} + q^{7} + q^{9} + 2q^{11} - 2q^{12} + 3q^{13} - q^{15} + 4q^{16} - 2q^{19} + O(q^{20}) \)