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SageMath
E = EllipticCurve("ls1")
E.isogeny_class()
Elliptic curves in class 176400.ls
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.ls1 | 176400fo1 | \([0, 0, 0, -56595, -26386990]\) | \(-6655/96\) | \(-289188539626291200\) | \([]\) | \(1290240\) | \(2.0320\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.ls1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.ls do not have complex multiplication.Modular form 176400.2.a.ls
sage: E.q_eigenform(10)