Properties

 Label 100010.h Number of curves $1$ Conductor $100010$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("100010.h1")

sage: E.isogeny_class()

Elliptic curves in class 100010.h

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100010.h1 100010j1 [1, 0, 0, -15, 5] [] 12384 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 100010.h1 has rank $$0$$.

Modular form 100010.2.a.h

sage: E.q_eigenform(10)

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