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SageMath
E = EllipticCurve("ei1")
E.isogeny_class()
Elliptic curves in class 489762ei
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
489762.ei1 | 489762ei1 | \([1, -1, 1, -935447, 349656207]\) | \(-25727239787761/101406816\) | \(-356824601122874976\) | \([]\) | \(6739200\) | \(2.2256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 489762ei1 has rank \(1\).
Complex multiplication
The elliptic curves in class 489762ei do not have complex multiplication.Modular form 489762.2.a.ei
sage: E.q_eigenform(10)