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SageMath
E = EllipticCurve("il1")
E.isogeny_class()
Elliptic curves in class 122304.il
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122304.il1 | 122304hn1 | \([0, 1, 0, -315117889, -2165489390401]\) | \(-112205650221491190337/745029571313664\) | \(-22977441702997198356086784\) | \([]\) | \(43868160\) | \(3.7020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122304.il1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122304.il do not have complex multiplication.Modular form 122304.2.a.il
sage: E.q_eigenform(10)