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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 327990.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.bh1 | 327990bh1 | \([1, 1, 1, -27350, -3747265]\) | \(-3198929765521/6673387500\) | \(-4719960184387500\) | \([]\) | \(3528000\) | \(1.6966\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990.bh do not have complex multiplication.Modular form 327990.2.a.bh
sage: E.q_eigenform(10)