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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 302330u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.u1 | 302330u1 | \([1, 1, 1, -1, 3429]\) | \(-1/43190\) | \(-5081260310\) | \([]\) | \(203136\) | \(0.54128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302330u do not have complex multiplication.Modular form 302330.2.a.u
sage: E.q_eigenform(10)