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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1425.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1425.j1 | 1425i1 | \([0, 1, 1, -58, 169]\) | \(-1404928/171\) | \(-2671875\) | \([]\) | \(432\) | \(-0.031829\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1425.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1425.j do not have complex multiplication.Modular form 1425.2.a.j
sage: E.q_eigenform(10)