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SageMath
E = EllipticCurve("fi1")
E.isogeny_class()
Elliptic curves in class 117600fi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.h1 | 117600fi1 | \([0, -1, 0, -8493, 2245797]\) | \(-5624320/177147\) | \(-2134135542067200\) | \([]\) | \(696960\) | \(1.6218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600fi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600fi do not have complex multiplication.Modular form 117600.2.a.fi
sage: E.q_eigenform(10)