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SageMath
E = EllipticCurve("kp1")
E.isogeny_class()
Elliptic curves in class 388080.kp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.kp1 | 388080kp1 | \([0, 0, 0, 63, -189]\) | \(48384/55\) | \(-31434480\) | \([]\) | \(92160\) | \(0.12503\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.kp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080.kp do not have complex multiplication.Modular form 388080.2.a.kp
sage: E.q_eigenform(10)