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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 444675.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.bn1 | 444675bn1 | \([1, 1, 1, -477287588, 4022989804406]\) | \(-30515071121161/85766121\) | \(-33796016678880639641390625\) | \([]\) | \(191600640\) | \(3.7708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 444675.bn do not have complex multiplication.Modular form 444675.2.a.bn
sage: E.q_eigenform(10)