Properties

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

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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)
 
\(q + q^{7} - 3q^{9} - 4q^{11} - 3q^{13} - q^{17} + O(q^{20})\)  Toggle raw display