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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 58800.fl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.fl1 | 58800ke1 | \([0, 1, 0, -12247958, 16494399963]\) | \(-805661175040/729\) | \(-183861121893750000\) | \([]\) | \(1935360\) | \(2.6110\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.fl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.fl do not have complex multiplication.Modular form 58800.2.a.fl
sage: E.q_eigenform(10)