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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 139650.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.b1 | 139650hk1 | \([1, 1, 0, 6800, -176000]\) | \(1816329095/1772928\) | \(-33934950000000\) | \([]\) | \(483840\) | \(1.2833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 139650.b do not have complex multiplication.Modular form 139650.2.a.b
sage: E.q_eigenform(10)