Properties

Label 444675.fc
Number of curves $1$
Conductor $444675$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fc1")
 
E.isogeny_class()
 

Elliptic curves in class 444675.fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.fc1 444675fc1 \([1, 1, 0, 3650, -467375]\) \(24167/441\) \(-98091692015625\) \([]\) \(1492992\) \(1.3652\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 444675.fc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444675.fc do not have complex multiplication.

Modular form 444675.2.a.fc

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} - 3 q^{8} + q^{9} + q^{12} - 7 q^{13} - q^{16} - 3 q^{17} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display