Properties

Label 402930.bh
Number of curves $1$
Conductor $402930$
CM no
Rank $1$

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

Elliptic curves in class 402930.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.bh1 402930bh1 \([1, -1, 0, 246636, 38254288]\) \(155451120763631/149381775360\) \(-1594394859750359040\) \([]\) \(9732096\) \(2.1798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 402930.bh do not have complex multiplication.

Modular form 402930.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 5 q^{7} - q^{8} - q^{10} - q^{13} + 5 q^{14} + q^{16} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display