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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 301665.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301665.bn1 | 301665bn1 | \([1, 1, 0, -1921113418, -32523227195207]\) | \(-5687864023665381542881/22897433445368265\) | \(-3156605641991320947305771985\) | \([]\) | \(245306880\) | \(4.1333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301665.bn do not have complex multiplication.Modular form 301665.2.a.bn
sage: E.q_eigenform(10)