Properties

Label 67760ci
Number of curves $1$
Conductor $67760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 67760ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67760.u1 67760ci1 \([0, -1, 0, -77149640, 260914735600]\) \(-57839429434456681/16470860000\) \(-14461645286226575360000\) \([]\) \(7096320\) \(3.2328\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67760ci1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67760ci do not have complex multiplication.

Modular form 67760.2.a.ci

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