Properties

Label 482448bh
Number of curves $1$
Conductor $482448$
CM no
Rank $2$

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

Elliptic curves in class 482448bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
482448.bh1 482448bh1 \([0, 1, 0, 28919, 1363331]\) \(70575104/61731\) \(-2339431286747904\) \([]\) \(2365440\) \(1.6366\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 482448bh1 has rank \(2\).

Complex multiplication

The elliptic curves in class 482448bh do not have complex multiplication.

Modular form 482448.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 3 q^{7} + q^{9} - 5 q^{11} - 2 q^{13} - q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display