Properties

Label 303600.q
Number of curves $1$
Conductor $303600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 303600.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.q1 303600q1 \([0, -1, 0, -495208, 159388912]\) \(-335758915825/79499178\) \(-3179967120000000000\) \([]\) \(4769280\) \(2.2693\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303600.q do not have complex multiplication.

Modular form 303600.2.a.q

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