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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 44100.dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.dq1 | 44100ci1 | \([0, 0, 0, -2205, 46305]\) | \(-34560/7\) | \(-240145138800\) | \([]\) | \(55296\) | \(0.90619\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100.dq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44100.dq do not have complex multiplication.Modular form 44100.2.a.dq
sage: E.q_eigenform(10)