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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 443822.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443822.i1 | 443822i1 | \([1, -1, 0, -24403, 1062197]\) | \(72511713/20224\) | \(448252039472896\) | \([]\) | \(4612608\) | \(1.5186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443822.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443822.i do not have complex multiplication.Modular form 443822.2.a.i
sage: E.q_eigenform(10)