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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 422331l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.l1 | 422331l1 | \([0, 1, 1, -433372, 97077166]\) | \(776703004672/97144749\) | \(1125826856211034341\) | \([]\) | \(14224896\) | \(2.1933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 422331l do not have complex multiplication.Modular form 422331.2.a.l
sage: E.q_eigenform(10)