Properties

 Label 141.d Number of curves 1 Conductor 141 CM no Rank 1

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("141.d1")

sage: E.isogeny_class()

Elliptic curves in class 141.d

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
141.d1 141d1 [0, -1, 1, -1, 0] [] 4 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 141.d1 has rank $$1$$.

Modular form141.2.a.d

sage: E.q_eigenform(10)

$$q - q^{3} - 2q^{4} - q^{5} - 3q^{7} + q^{9} - 3q^{11} + 2q^{12} - 4q^{13} + q^{15} + 4q^{16} + 8q^{17} - 6q^{19} + O(q^{20})$$