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SageMath
E = EllipticCurve("fm1")
E.isogeny_class()
Elliptic curves in class 92400.fm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.fm1 | 92400cd1 | \([0, 1, 0, -41508, -3385137]\) | \(-31636584484096/1331669031\) | \(-332917257750000\) | \([]\) | \(403200\) | \(1.5532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.fm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.fm do not have complex multiplication.Modular form 92400.2.a.fm
sage: E.q_eigenform(10)