Properties

Label 15030k
Number of curves 1
Conductor 15030
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("15030.o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15030k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
15030.o1 15030k1 [1, -1, 1, 3238, -53351] [] 29952 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15030k1 has rank \(1\).

Modular form 15030.2.a.o

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} + 4q^{13} + q^{14} + q^{16} - 8q^{17} - 7q^{19} + O(q^{20}) \)