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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 165649d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
165649.d1 | 165649d1 | \([1, 0, 0, -21359, 1233442]\) | \(-444332593/14641\) | \(-35508334278769\) | \([]\) | \(535680\) | \(1.3749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165649d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 165649d do not have complex multiplication.Modular form 165649.2.a.d
sage: E.q_eigenform(10)