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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 11466.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11466.bd1 | 11466be1 | \([1, -1, 0, -44313453, -114179112027]\) | \(-112205650221491190337/745029571313664\) | \(-63898296361865835577344\) | \([]\) | \(1827840\) | \(3.2115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11466.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11466.bd do not have complex multiplication.Modular form 11466.2.a.bd
sage: E.q_eigenform(10)