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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 133200bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.e1 | 133200bn1 | \([0, 0, 0, -562800, 162502000]\) | \(422550360064/23125\) | \(1078920000000000\) | \([]\) | \(1382400\) | \(1.9507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133200bn do not have complex multiplication.Modular form 133200.2.a.bn
sage: E.q_eigenform(10)