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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 55470p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55470.t1 | 55470p1 | \([1, 1, 1, -707281, -243437137]\) | \(-77854483/5760\) | \(-2894933444756215680\) | \([]\) | \(1059520\) | \(2.2914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55470p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55470p do not have complex multiplication.Modular form 55470.2.a.p
sage: E.q_eigenform(10)