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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 134640.fl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.fl1 | 134640bk1 | \([0, 0, 0, -13239147, -50290696294]\) | \(-85944135790429956649/316171526414008320\) | \(-944083119127806219386880\) | \([]\) | \(14100480\) | \(3.2861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640.fl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640.fl do not have complex multiplication.Modular form 134640.2.a.fl
sage: E.q_eigenform(10)