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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 297825.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297825.j1 | 297825j1 | \([1, 1, 1, 189337, 444682406]\) | \(2828663/323433\) | \(-85828824141246140625\) | \([]\) | \(10506240\) | \(2.5043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297825.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297825.j do not have complex multiplication.Modular form 297825.2.a.j
sage: E.q_eigenform(10)