Properties

Label 303450fr
Number of curves $1$
Conductor $303450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fr1")
 
E.isogeny_class()
 

Elliptic curves in class 303450fr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.fr1 303450fr1 \([1, 0, 0, -241210388, 1530238381392]\) \(-1970890451905/144027072\) \(-113420976035753498175000000\) \([]\) \(126904320\) \(3.7487\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450fr1 has rank \(0\).

Complex multiplication

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

Modular form 303450.2.a.fr

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - q^{7} + q^{8} + q^{9} - 5 q^{11} + q^{12} - 2 q^{13} - q^{14} + q^{16} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display