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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 13872.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.u1 | 13872p1 | \([0, 1, 0, 40, 3684]\) | \(23324/19683\) | \(-5824908288\) | \([]\) | \(15552\) | \(0.55281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 13872.u do not have complex multiplication.Modular form 13872.2.a.u
sage: E.q_eigenform(10)