Properties

Label 30376.a
Number of curves 1
Conductor 30376
CM no
Rank 3

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Show commands for: SageMath

sage: E = EllipticCurve("30376.a1")
sage: E.isogeny_class()

Elliptic curves in class 30376.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
30376.a1 30376a1 [0, 1, 0, -25, -21] 1 9152 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curve 30376.a1 has rank \(3\).

Modular form 30376.2.a.a

sage: E.q_eigenform(10)
\( q - 2q^{3} - 4q^{5} - 2q^{7} + q^{9} - 6q^{11} - q^{13} + 8q^{15} - 8q^{17} - 7q^{19} + O(q^{20}) \)