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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 233289w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
233289.w1 | 233289w1 | \([0, 0, 1, 76207740, -2558741869805]\) | \(1605632000/93710763\) | \(-2856698577420961369183684947\) | \([]\) | \(62447616\) | \(3.9479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 233289w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 233289w do not have complex multiplication.Modular form 233289.2.a.w
sage: E.q_eigenform(10)