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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 12600.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12600.bh1 | 12600f1 | \([0, 0, 0, -211875, -49381250]\) | \(-1947910950/823543\) | \(-444713220000000000\) | \([]\) | \(147840\) | \(2.0942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12600.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12600.bh do not have complex multiplication.Modular form 12600.2.a.bh
sage: E.q_eigenform(10)