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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 3648.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3648.bh1 | 3648s1 | \([0, 1, 0, -9, 9]\) | \(-1404928/171\) | \(-10944\) | \([]\) | \(320\) | \(-0.48997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3648.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3648.bh do not have complex multiplication.Modular form 3648.2.a.bh
sage: E.q_eigenform(10)