Properties

Label 62400.e
Number of curves $1$
Conductor $62400$
CM no
Rank $1$

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

Elliptic curves in class 62400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.e1 62400t1 \([0, -1, 0, 127, 897]\) \(34295/78\) \(-511180800\) \([]\) \(32256\) \(0.35511\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 62400.e do not have complex multiplication.

Modular form 62400.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} - 4 q^{11} - q^{13} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display