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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 44100ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.f1 | 44100ds1 | \([0, 0, 0, -2249625, -1298714375]\) | \(-805661175040/729\) | \(-1139276643750000\) | \([]\) | \(552960\) | \(2.1874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44100ds do not have complex multiplication.Modular form 44100.2.a.ds
sage: E.q_eigenform(10)