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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 217672i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
217672.o1 | 217672i1 | \([0, 1, 0, -185449, 46217419]\) | \(-570820369408/418447211\) | \(-517059779604402944\) | \([]\) | \(2365440\) | \(2.0984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 217672i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 217672i do not have complex multiplication.Modular form 217672.2.a.i
sage: E.q_eigenform(10)