Properties

 Label 76.a Number of curves 1 Conductor 76 CM no Rank 0

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("76.a1")

sage: E.isogeny_class()

Elliptic curves in class 76.a

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
76.a1 76a1 [0, -1, 0, -21, -31] [] 6 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 76.a1 has rank $$0$$.

Modular form76.2.a.a

sage: E.q_eigenform(10)

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