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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 14112bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14112.ba1 | 14112bw1 | \([0, 0, 0, -288120, -59967376]\) | \(-3136000/27\) | \(-22773597495570432\) | \([]\) | \(96768\) | \(1.9637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14112bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14112bw do not have complex multiplication.Modular form 14112.2.a.bw
sage: E.q_eigenform(10)