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SageMath
E = EllipticCurve("fi1")
E.isogeny_class()
Elliptic curves in class 323400.fi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.fi1 | 323400fi1 | \([0, 1, 0, -431608, 109933088]\) | \(-2410065700/24057\) | \(-88757643300480000\) | \([]\) | \(3556224\) | \(2.0711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.fi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.fi do not have complex multiplication.Modular form 323400.2.a.fi
sage: E.q_eigenform(10)