Properties

Label 94640.e
Number of curves $1$
Conductor $94640$
CM no
Rank $0$

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

Elliptic curves in class 94640.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94640.e1 94640dg1 \([0, 0, 0, -35152, -13252304]\) \(-1437696/21875\) \(-73089472601600000\) \([]\) \(1560000\) \(1.9173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94640.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 94640.e do not have complex multiplication.

Modular form 94640.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} + 3 q^{11} - 3 q^{15} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display