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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 10800.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10800.bn1 | 10800bd1 | \([0, 0, 0, 300, 1500]\) | \(27648/25\) | \(-2700000000\) | \([]\) | \(4608\) | \(0.49706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10800.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10800.bn do not have complex multiplication.Modular form 10800.2.a.bn
sage: E.q_eigenform(10)