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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 2646p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.t1 | 2646p1 | \([1, -1, 1, -8021, -278099]\) | \(-134162931/2048\) | \(-871075731456\) | \([]\) | \(5940\) | \(1.0937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2646p do not have complex multiplication.Modular form 2646.2.a.p
sage: E.q_eigenform(10)