Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 303600w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.w1 303600w1 \([0, -1, 0, -9200108, -10737757413]\) \(-344478821986234930432/72909237159\) \(-18227309289750000\) \([]\) \(8709120\) \(2.5058\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600w1 has rank \(0\).

Complex multiplication

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

Modular form 303600.2.a.w

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