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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 208725.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208725.w1 | 208725o1 | \([1, 0, 0, -2308138, -1335202483]\) | \(78605490625/985527\) | \(17050011695771484375\) | \([]\) | \(6177600\) | \(2.4997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208725.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 208725.w do not have complex multiplication.Modular form 208725.2.a.w
sage: E.q_eigenform(10)