Properties

Label 374790.bc
Number of curves $1$
Conductor $374790$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 374790.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.bc1 374790bc1 \([1, 1, 0, -6452, 207696]\) \(-997302429271/64696320\) \(-1927368069120\) \([]\) \(1013760\) \(1.1101\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 374790.bc do not have complex multiplication.

Modular form 374790.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + 4 q^{7} - q^{8} + q^{9} - q^{10} + 3 q^{11} - q^{12} + q^{13} - 4 q^{14} - q^{15} + q^{16} + 2 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display