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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 15680.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.bb1 | 15680ch1 | \([0, -1, 0, 3659, -21139]\) | \(8192/5\) | \(-3305767485440\) | \([]\) | \(21504\) | \(1.0914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15680.bb do not have complex multiplication.Modular form 15680.2.a.bb
sage: E.q_eigenform(10)