Properties

Label 211600.bl
Number of curves $1$
Conductor $211600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 211600.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.bl1 211600ba1 \([0, -1, 0, -136658, 20718187]\) \(-7626496/575\) \(-21280159043750000\) \([]\) \(1216512\) \(1.8814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 211600.bl do not have complex multiplication.

Modular form 211600.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} - 2 q^{9} - 4 q^{11} - q^{13} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display