Properties

Label 370881.l
Number of curves $1$
Conductor $370881$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 370881.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.l1 370881l1 \([1, -1, 1, -54898115, 287165633150]\) \(-177625/243\) \(-25032151883884398254589483\) \([]\) \(76003200\) \(3.5660\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881.l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 370881.l do not have complex multiplication.

Modular form 370881.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 3 q^{8} - 6 q^{11} + 3 q^{13} - q^{16} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display