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SageMath
E = EllipticCurve("kw1")
E.isogeny_class()
Elliptic curves in class 78400.kw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.kw1 | 78400dd1 | \([0, 0, 0, 980, 27440]\) | \(270\) | \(-385512243200\) | \([]\) | \(138240\) | \(0.90601\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.kw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.kw do not have complex multiplication.Modular form 78400.2.a.kw
sage: E.q_eigenform(10)