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SageMath
E = EllipticCurve("fu1")
E.isogeny_class()
Elliptic curves in class 68400fu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.d1 | 68400fu1 | \([0, 0, 0, -8400, 326000]\) | \(-1404928/171\) | \(-7978176000000\) | \([]\) | \(138240\) | \(1.2106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400fu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68400fu do not have complex multiplication.Modular form 68400.2.a.fu
sage: E.q_eigenform(10)