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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 363090i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363090.i1 | 363090i1 | \([1, 1, 0, -6213, -135603]\) | \(541428245557801/157341450240\) | \(7709731061760\) | \([]\) | \(930240\) | \(1.1789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363090i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363090i do not have complex multiplication.Modular form 363090.2.a.i
sage: E.q_eigenform(10)