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SageMath
E = EllipticCurve("fi1")
E.isogeny_class()
Elliptic curves in class 83790fi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83790.fu1 | 83790fi1 | \([1, -1, 1, 523678, -112734079]\) | \(185183253170999/171032148000\) | \(-14668763900257908000\) | \([]\) | \(2211840\) | \(2.3649\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790fi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83790fi do not have complex multiplication.Modular form 83790.2.a.fi
sage: E.q_eigenform(10)