Properties

Label 248430.bh
Number of curves $1$
Conductor $248430$
CM no
Rank $1$

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

Elliptic curves in class 248430.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248430.bh1 248430bh1 \([1, 1, 0, -505313, 158836917]\) \(-1231272543361/230400000\) \(-2670144401433600000\) \([]\) \(6402240\) \(2.2600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248430.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 248430.bh do not have complex multiplication.

Modular form 248430.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + 5 q^{11} - q^{12} + q^{15} + q^{16} - 4 q^{17} - q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display