Properties

Label 68400.e
Number of curves $1$
Conductor $68400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 68400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.e1 68400fv1 \([0, 0, 0, -13125, -565625]\) \(2195200/57\) \(6492656250000\) \([]\) \(207360\) \(1.2403\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 68400.e do not have complex multiplication.

Modular form 68400.2.a.e

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 2 q^{11} + 2 q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display