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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 162624bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.he1 | 162624bb1 | \([0, 1, 0, -78085, -7088413]\) | \(123904/21\) | \(8924134057918464\) | \([]\) | \(946176\) | \(1.7814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162624bb do not have complex multiplication.Modular form 162624.2.a.bb
sage: E.q_eigenform(10)