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SageMath
E = EllipticCurve("il1")
E.isogeny_class()
Elliptic curves in class 474320il
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.il1 | 474320il1 | \([0, -1, 0, -1424936, 762005840]\) | \(-15298178/3125\) | \(-65361258395910400000\) | \([]\) | \(14414400\) | \(2.5245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320il1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320il do not have complex multiplication.Modular form 474320.2.a.il
sage: E.q_eigenform(10)