Properties

Label 331240t
Number of curves $1$
Conductor $331240$
CM no
Rank $1$

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

Elliptic curves in class 331240t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331240.t1 331240t1 \([0, -1, 0, 36279, 8329021]\) \(12459008/78125\) \(-33111909740000000\) \([]\) \(2096640\) \(1.8517\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331240t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331240t do not have complex multiplication.

Modular form 331240.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - 3 q^{11} + q^{15} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display