Properties

Label 30345bc
Number of curves 1
Conductor 30345
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("30345.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30345bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30345.r1 30345bc1 [0, 1, 1, -1375597035, 19640181457964] [] 12096000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30345bc1 has rank \(1\).

Modular form 30345.2.a.r

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