Properties

 Label 64400.bm Number of curves $1$ Conductor $64400$ CM no Rank $1$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bm1")

sage: E.isogeny_class()

Elliptic curves in class 64400.bm

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.bm1 64400ck1 $$[0, 0, 0, 107125, -272103750]$$ $$84972077055/20040095362$$ $$-32064152579200000000$$ $$[]$$ $$967680$$ $$2.4221$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 64400.bm1 has rank $$1$$.

Complex multiplication

The elliptic curves in class 64400.bm do not have complex multiplication.

Modular form 64400.2.a.bm

sage: E.q_eigenform(10)

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