Properties

Label 207936bh
Number of curves $1$
Conductor $207936$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 207936bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207936.dn1 207936bh1 \([0, 0, 0, -108300, 19644176]\) \(-31250/19\) \(-85410774742597632\) \([]\) \(1382400\) \(1.9509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207936bh1 has rank \(2\).

Complex multiplication

The elliptic curves in class 207936bh do not have complex multiplication.

Modular form 207936.2.a.bh

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 2 q^{11} + q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display