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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 8325.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8325.w1 | 8325a1 | \([0, 0, 1, 2430, -3004]\) | \(3224862720/1874161\) | \(-922227774075\) | \([]\) | \(9216\) | \(0.98528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8325.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8325.w do not have complex multiplication.Modular form 8325.2.a.w
sage: E.q_eigenform(10)