Properties

Label 375700l
Number of curves $1$
Conductor $375700$
CM no
Rank $0$

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

Elliptic curves in class 375700l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
375700.l1 375700l1 \([0, 0, 0, 180625, -30706250]\) \(10800/13\) \(-784470992500000000\) \([]\) \(3720960\) \(2.1198\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 375700l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 375700l do not have complex multiplication.

Modular form 375700.2.a.l

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