Properties

 Label 15680.i Number of curves $1$ Conductor $15680$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("i1")

sage: E.isogeny_class()

Elliptic curves in class 15680.i

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.i1 15680dx1 $$[0, 0, 0, 98, -686]$$ $$13824/35$$ $$-263533760$$ $$[]$$ $$9216$$ $$0.29960$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 15680.i1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 15680.i do not have complex multiplication.

Modular form 15680.2.a.i

sage: E.q_eigenform(10)

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