Properties

Label 270480.s
Number of curves $1$
Conductor $270480$
CM no
Rank $2$

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

Elliptic curves in class 270480.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.s1 270480s1 \([0, -1, 0, -2921, 76245]\) \(-31400240128/9703125\) \(-852012000000\) \([]\) \(350208\) \(1.0028\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480.s1 has rank \(2\).

Complex multiplication

The elliptic curves in class 270480.s do not have complex multiplication.

Modular form 270480.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - q^{11} - 6 q^{13} + q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display