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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 103488bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.i1 | 103488bh1 | \([0, -1, 0, -2417, -45639]\) | \(-12967168/231\) | \(-27829165056\) | \([]\) | \(122880\) | \(0.80092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488bh do not have complex multiplication.Modular form 103488.2.a.bh
sage: E.q_eigenform(10)