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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 234416bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.bb1 | 234416bb1 | \([0, 0, 0, -140, 588]\) | \(3456000/299\) | \(26254592\) | \([]\) | \(33792\) | \(0.16447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416bb do not have complex multiplication.Modular form 234416.2.a.bb
sage: E.q_eigenform(10)