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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 333270.ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.ds1 | 333270ds1 | \([1, -1, 1, -2273, 48377]\) | \(-3366353209/612360\) | \(-236151122760\) | \([]\) | \(387072\) | \(0.90727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.ds do not have complex multiplication.Modular form 333270.2.a.ds
sage: E.q_eigenform(10)