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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 14784.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14784.u1 | 14784ca1 | \([0, -1, 0, 55, -8511]\) | \(17643776/30438639\) | \(-31169166336\) | \([]\) | \(11520\) | \(0.69253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14784.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14784.u do not have complex multiplication.Modular form 14784.2.a.u
sage: E.q_eigenform(10)