Properties

Label 405600bh
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

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

Elliptic curves in class 405600bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.bh1 405600bh1 \([0, -1, 0, -238008, 87613512]\) \(-228488/375\) \(-2447192163000000000\) \([]\) \(6110208\) \(2.2194\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600bh do not have complex multiplication.

Modular form 405600.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2q^{7} + q^{9} + 3q^{11} - 2q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display