Properties

 Label 31200y Number of curves $1$ Conductor $31200$ CM no Rank $1$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("y1")

sage: E.isogeny_class()

Elliptic curves in class 31200y

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.bj1 31200y1 $$[0, 1, 0, 312, 17208]$$ $$261568120/10024911$$ $$-128318860800$$ $$[]$$ $$25920$$ $$0.81136$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 31200y1 has rank $$1$$.

Complex multiplication

The elliptic curves in class 31200y do not have complex multiplication.

Modular form 31200.2.a.y

sage: E.q_eigenform(10)

$$q + q^{3} - 4q^{7} + q^{9} + q^{13} - 3q^{19} + O(q^{20})$$