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SageMath
E = EllipticCurve("ef1")
E.isogeny_class()
Elliptic curves in class 115920.ef
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
115920.ef1 | 115920bx1 | \([0, 0, 0, -8427, 298429]\) | \(-5674076449024/14904575\) | \(-173846962800\) | \([]\) | \(161280\) | \(1.0321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.ef1 has rank \(1\).
Complex multiplication
The elliptic curves in class 115920.ef do not have complex multiplication.Modular form 115920.2.a.ef
sage: E.q_eigenform(10)