Properties

Label 363726.t
Number of curves $1$
Conductor $363726$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 363726.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.t1 363726t1 \([1, -1, 0, 184563, 69431269]\) \(538359860375/1926234112\) \(-2487669656443158528\) \([]\) \(4147200\) \(2.2128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726.t1 has rank \(2\).

Complex multiplication

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

Modular form 363726.2.a.t

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