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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 27930.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27930.p1 | 27930l1 | \([1, 1, 0, 808, -10254]\) | \(10100279/14250\) | \(-82148414250\) | \([]\) | \(34272\) | \(0.77992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27930.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27930.p do not have complex multiplication.Modular form 27930.2.a.p
sage: E.q_eigenform(10)