Properties

Label 7800.v
Number of curves $1$
Conductor $7800$
CM no
Rank $1$

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

Elliptic curves in class 7800.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7800.v1 7800j1 \([0, 1, 0, -6113, 182403]\) \(-789601498112/2302911\) \(-73693152000\) \([]\) \(9856\) \(0.95593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7800.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7800.v do not have complex multiplication.

Modular form 7800.2.a.v

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