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SageMath
E = EllipticCurve("is1")
E.isogeny_class()
Elliptic curves in class 225600.is
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225600.is1 | 225600gq1 | \([0, 1, 0, -1233, 5913]\) | \(207474688/102789\) | \(102789000000\) | \([]\) | \(241920\) | \(0.80603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225600.is1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225600.is do not have complex multiplication.Modular form 225600.2.a.is
sage: E.q_eigenform(10)