Properties

Label 700.g
Number of curves $1$
Conductor $700$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 700.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
700.g1 700c1 \([0, 0, 0, -5, 5]\) \(-34560/7\) \(-2800\) \([]\) \(36\) \(-0.61607\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 700.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 700.g do not have complex multiplication.

Modular form 700.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{7} - 3 q^{9} - 5 q^{11} - 6 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display