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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1325.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1325.a1 | 1325e1 | \([0, 1, 1, -8, -6]\) | \(102400/53\) | \(33125\) | \([]\) | \(216\) | \(-0.44065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1325.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1325.a do not have complex multiplication.Modular form 1325.2.a.a
sage: E.q_eigenform(10)