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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 21160i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21160.i1 | 21160i1 | \([0, -1, 0, -2222505, 1274618525]\) | \(60560505856/78125\) | \(1566219705620000000\) | \([]\) | \(432768\) | \(2.3988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21160i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21160i do not have complex multiplication.Modular form 21160.2.a.i
sage: E.q_eigenform(10)