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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 448844e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
448844.e1 | 448844e1 | \([0, 1, 0, -1686565, 883359751]\) | \(-1952382976/112211\) | \(-30493244830486735616\) | \([]\) | \(13219200\) | \(2.4953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 448844e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 448844e do not have complex multiplication.Modular form 448844.2.a.e
sage: E.q_eigenform(10)