Properties

Label 143745t
Number of curves $1$
Conductor $143745$
CM no
Rank $1$

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

Elliptic curves in class 143745t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.m1 143745t1 \([0, -1, 1, -377331081, -2809239982819]\) \(1235589508366336/5980078125\) \(28755710217712832164453125\) \([]\) \(35804160\) \(3.7336\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 143745t do not have complex multiplication.

Modular form 143745.2.a.t

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