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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 327990.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.k1 | 327990k1 | \([1, 1, 0, -7557, -164061]\) | \(56763056858641/19548576450\) | \(16440352794450\) | \([]\) | \(1221120\) | \(1.2377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990.k do not have complex multiplication.Modular form 327990.2.a.k
sage: E.q_eigenform(10)