Properties

Label 372810.t
Number of curves $1$
Conductor $372810$
CM no
Rank $1$

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

Elliptic curves in class 372810.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.t1 372810t1 \([1, 1, 0, -1952, -230334]\) \(-167557540697/4535156250\) \(-22281222656250\) \([]\) \(1002240\) \(1.2418\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 372810.t do not have complex multiplication.

Modular form 372810.2.a.t

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