Properties

Label 7740b
Number of curves $1$
Conductor $7740$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 7740b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7740.a1 7740b1 \([0, 0, 0, -41808, -3301868]\) \(-43304636317696/176326875\) \(-32906826720000\) \([]\) \(24576\) \(1.4499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7740b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7740b do not have complex multiplication.

Modular form 7740.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - q^{11} - 5 q^{13} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display