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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 4680u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4680.o1 | 4680u1 | \([0, 0, 0, 87468, -6552236]\) | \(396555344454656/328867205355\) | \(-61374513332171520\) | \([]\) | \(42240\) | \(1.9090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4680u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4680u do not have complex multiplication.Modular form 4680.2.a.u
sage: E.q_eigenform(10)