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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 10320u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10320.o1 | 10320u1 | \([0, -1, 0, -4645, -120743]\) | \(-43304636317696/176326875\) | \(-45139680000\) | \([]\) | \(12288\) | \(0.90058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10320u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10320u do not have complex multiplication.Modular form 10320.2.a.u
sage: E.q_eigenform(10)