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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 234416.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.u1 | 234416u1 | \([0, -1, 0, 3120, -31710272]\) | \(6967871/901382144\) | \(-434367315392331776\) | \([]\) | \(2467584\) | \(2.0633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 234416.u do not have complex multiplication.Modular form 234416.2.a.u
sage: E.q_eigenform(10)