Properties

Label 7440.v
Number of curves $1$
Conductor $7440$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7440.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7440.v1 7440t1 \([0, 1, 0, -3256, 79700]\) \(-932288503609/148800000\) \(-609484800000\) \([]\) \(8640\) \(0.98942\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7440.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7440.v do not have complex multiplication.

Modular form 7440.2.a.v

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