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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 105966d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105966.ba1 | 105966d1 | \([1, -1, 0, 13719, 6516817]\) | \(21141/1372\) | \(-18531128121727284\) | \([]\) | \(751680\) | \(1.8011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105966d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 105966d do not have complex multiplication.Modular form 105966.2.a.d
sage: E.q_eigenform(10)