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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 15680.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.cj1 | 15680h1 | \([0, 1, 0, 3659, 21139]\) | \(8192/5\) | \(-3305767485440\) | \([]\) | \(21504\) | \(1.0914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680.cj do not have complex multiplication.Modular form 15680.2.a.cj
sage: E.q_eigenform(10)