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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 74025j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74025.d1 | 74025j1 | \([0, 0, 1, -134112375, 597793782656]\) | \(-34695962959686266880/329\) | \(-2529573046875\) | \([]\) | \(6494400\) | \(2.8931\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74025j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74025j do not have complex multiplication.Modular form 74025.2.a.j
sage: E.q_eigenform(10)