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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 139650.eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.eq1 | 139650ds1 | \([1, 1, 1, 1454662, 521917031]\) | \(185183253170999/171032148000\) | \(-314402518438312500000\) | \([]\) | \(6635520\) | \(2.6204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.eq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 139650.eq do not have complex multiplication.Modular form 139650.2.a.eq
sage: E.q_eigenform(10)