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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 28322.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.u1 | 28322bh1 | \([1, 1, 1, -807472, -274910091]\) | \(206839/4\) | \(1125987897205758748\) | \([]\) | \(411264\) | \(2.2565\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28322.u do not have complex multiplication.Modular form 28322.2.a.u
sage: E.q_eigenform(10)