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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 92778.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92778.u1 | 92778z1 | \([1, 0, 0, -140, 816]\) | \(-137437729/54432\) | \(-120240288\) | \([]\) | \(57600\) | \(0.25936\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92778.u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 92778.u do not have complex multiplication.Modular form 92778.2.a.u
sage: E.q_eigenform(10)