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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 11200.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.f1 | 11200ct1 | \([0, 0, 0, 50, 250]\) | \(13824/35\) | \(-35000000\) | \([]\) | \(4608\) | \(0.13136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11200.f do not have complex multiplication.Modular form 11200.2.a.f
sage: E.q_eigenform(10)