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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 11200f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.x1 | 11200f1 | \([0, -1, 0, -383, 3637]\) | \(-6229504/1715\) | \(-1715000000\) | \([]\) | \(4608\) | \(0.48775\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11200f do not have complex multiplication.Modular form 11200.2.a.f
sage: E.q_eigenform(10)