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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 338130.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.i1 | 338130i1 | \([1, -1, 0, -11325, -466875]\) | \(-71236154187/1040000\) | \(-2345269680000\) | \([]\) | \(661248\) | \(1.1779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130.i do not have complex multiplication.Modular form 338130.2.a.i
sage: E.q_eigenform(10)