Properties

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

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 212940bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212940.g1 212940bf1 \([0, 0, 0, 210912, 63633908]\) \(6815744/15435\) \(-2349746145721578240\) \([]\) \(2515968\) \(2.2092\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212940bf1 has rank \(1\).

Complex multiplication

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

Modular form 212940.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display