Properties

Label 302330.bh
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 302330.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.bh1 302330bh1 \([1, -1, 1, 55973, -620021]\) \(3364204749759/1974400000\) \(-11382023094400000\) \([]\) \(1831200\) \(1.7703\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 302330.bh do not have complex multiplication.

Modular form 302330.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{8} - 3 q^{9} + q^{10} + 2 q^{11} + q^{13} + q^{16} - 7 q^{17} - 3 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display