Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 303600b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.b1 303600b1 \([0, -1, 0, -9333, -383463]\) \(-179830784/25047\) \(-12523500000000\) \([]\) \(1090560\) \(1.2447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600b1 has rank \(1\).

Complex multiplication

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

Modular form 303600.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - q^{11} + 2 q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display