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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 422370i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.i1 | 422370i1 | \([1, -1, 0, -5626187775, -162430147057559]\) | \(-83725248159695345419/212089987460\) | \(-49891906906298952911626860\) | \([]\) | \(372643200\) | \(4.1689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422370i do not have complex multiplication.Modular form 422370.2.a.i
sage: E.q_eigenform(10)