Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 303600.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.k1 303600k1 \([0, -1, 0, -116868133, -486253373363]\) \(-2758240050247355723776/37817291221875\) \(-2420306638200000000000\) \([]\) \(43545600\) \(3.2449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600.k1 has rank \(1\).

Complex multiplication

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

Modular form 303600.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + q^{11} - 5 q^{13} + 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display