Properties

Label 303450hb
Number of curves $1$
Conductor $303450$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("hb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 303450hb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.hb1 303450hb1 \([1, 0, 0, -22581888, -24991420608]\) \(18694465225/6858432\) \(467214434156176875000000\) \([]\) \(67858560\) \(3.2420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450hb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 303450hb do not have complex multiplication.

Modular form 303450.2.a.hb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} + 4q^{11} + q^{12} - 3q^{13} + q^{14} + q^{16} + q^{18} - 2q^{19} + O(q^{20})\)  Toggle raw display