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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 5220.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5220.i1 | 5220h1 | \([0, 0, 0, -1991433, 1088227757]\) | \(-74881286942075067136/526649727234375\) | \(-6142842418461750000\) | \([]\) | \(109440\) | \(2.4384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5220.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5220.i do not have complex multiplication.Modular form 5220.2.a.i
sage: E.q_eigenform(10)