Properties

Label 215475l
Number of curves $1$
Conductor $215475$
CM no
Rank $1$

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

Elliptic curves in class 215475l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215475.v1 215475l1 \([1, 0, 0, -6962888, 7708927017]\) \(-117161545345/12778713\) \(-4071870612867997265625\) \([]\) \(11606400\) \(2.8844\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215475l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215475l do not have complex multiplication.

Modular form 215475.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + q^{7} + 3 q^{8} + q^{9} - q^{12} - q^{14} - q^{16} - q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display