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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 7440bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7440.x1 | 7440bb1 | \([0, 1, 0, 1560, -12492]\) | \(102437538839/77137920\) | \(-315956920320\) | \([]\) | \(10560\) | \(0.89474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7440bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7440bb do not have complex multiplication.Modular form 7440.2.a.bb
sage: E.q_eigenform(10)