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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 103428.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103428.u1 | 103428h1 | \([0, 0, 0, -8112, 430612]\) | \(-65536/51\) | \(-45940718543616\) | \([]\) | \(196992\) | \(1.3202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103428.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103428.u do not have complex multiplication.Modular form 103428.2.a.u
sage: E.q_eigenform(10)