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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 50150.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50150.bn1 | 50150w1 | \([1, 0, 0, -2213, 39917]\) | \(-76711450249/68204\) | \(-1065687500\) | \([]\) | \(53760\) | \(0.65729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50150.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50150.bn do not have complex multiplication.Modular form 50150.2.a.bn
sage: E.q_eigenform(10)