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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 139650.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.bt1 | 139650ic1 | \([1, 1, 0, -294515, 360089325]\) | \(-560087524907/10788274176\) | \(-54418222038319104000\) | \([]\) | \(4290048\) | \(2.4679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.bt do not have complex multiplication.Modular form 139650.2.a.bt
sage: E.q_eigenform(10)