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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 126960f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126960.e1 | 126960f1 | \([0, -1, 0, 4028159, 13683426541]\) | \(190737654201344/2245153696875\) | \(-85085010805382949600000\) | \([]\) | \(10137600\) | \(3.0807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126960f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126960f do not have complex multiplication.Modular form 126960.2.a.f
sage: E.q_eigenform(10)