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SageMath
E = EllipticCurve("fm1")
E.isogeny_class()
Elliptic curves in class 193600fm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.jq1 | 193600fm1 | \([0, 0, 0, 931700, -322102000]\) | \(9261/10\) | \(-96581537423360000000\) | \([]\) | \(12165120\) | \(2.5214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600fm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193600fm do not have complex multiplication.Modular form 193600.2.a.fm
sage: E.q_eigenform(10)