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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 193600fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.e1 | 193600fo1 | \([0, 0, 0, -2843500, -7120850000]\) | \(-2803221/22528\) | \(-20433779818496000000000\) | \([]\) | \(20275200\) | \(2.9638\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600fo do not have complex multiplication.Modular form 193600.2.a.fo
sage: E.q_eigenform(10)