Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 303600m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.m1 303600m1 \([0, -1, 0, -11408, -458688]\) \(2565726409/40986\) \(2623104000000\) \([]\) \(645120\) \(1.1830\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600m1 has rank \(1\).

Complex multiplication

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

Modular form 303600.2.a.m

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