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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 405600.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.i1 | 405600i1 | \([0, -1, 0, 52672, -37595208]\) | \(261568120/10024911\) | \(-619370632179187200\) | \([]\) | \(4354560\) | \(2.0938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.i do not have complex multiplication.Modular form 405600.2.a.i
sage: E.q_eigenform(10)