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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 67760.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.p1 | 67760l1 | \([0, -1, 0, -9280, 349472]\) | \(-356696720402/2734375\) | \(-677600000000\) | \([]\) | \(86016\) | \(1.0998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67760.p do not have complex multiplication.Modular form 67760.2.a.p
sage: E.q_eigenform(10)