Properties

Label 363726bc
Number of curves $1$
Conductor $363726$
CM no
Rank $0$

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

Elliptic curves in class 363726bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.bc1 363726bc1 \([1, -1, 0, -3553974, 2583400716]\) \(-3843995587427449/6390046584\) \(-8252540483653867896\) \([]\) \(11289600\) \(2.5257\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 363726bc do not have complex multiplication.

Modular form 363726.2.a.bc

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