Properties

Label 303600s
Number of curves $1$
Conductor $303600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 303600s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.s1 303600s1 \([0, -1, 0, 149592, 3312]\) \(5784501536351/3347531550\) \(-214242019200000000\) \([]\) \(3096576\) \(2.0150\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600s1 has rank \(1\).

Complex multiplication

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

Modular form 303600.2.a.s

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