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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1525a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1525.b1 | 1525a1 | \([1, 1, 0, -50, 125]\) | \(-912673/61\) | \(-953125\) | \([]\) | \(216\) | \(-0.10074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1525a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1525a do not have complex multiplication.Modular form 1525.2.a.a
sage: E.q_eigenform(10)