Properties

Label 212940bl
Number of curves $1$
Conductor $212940$
CM no
Rank $1$

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

Elliptic curves in class 212940bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212940.n1 212940bl1 \([0, 0, 0, 210912, -298833743]\) \(109051904/4117715\) \(-39178753443593814960\) \([]\) \(4324320\) \(2.4394\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212940bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 212940bl do not have complex multiplication.

Modular form 212940.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 4 q^{11} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display