Properties

 Label 1110.m Number of curves $1$ Conductor $1110$ CM no Rank $1$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("m1")

sage: E.isogeny_class()

Elliptic curves in class 1110.m

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1110.m1 1110m1 $$[1, 0, 0, -281, 2361]$$ $$-2454365649169/1035763200$$ $$-1035763200$$ $$[]$$ $$1008$$ $$0.43771$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 1110.m1 has rank $$1$$.

Complex multiplication

The elliptic curves in class 1110.m do not have complex multiplication.

Modular form1110.2.a.m

sage: E.q_eigenform(10)

$$q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - 5q^{7} + q^{8} + q^{9} - q^{10} - 5q^{11} + q^{12} - q^{13} - 5q^{14} - q^{15} + q^{16} - 5q^{17} + q^{18} - 3q^{19} + O(q^{20})$$