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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 58443.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.p1 | 58443j1 | \([1, 1, 0, -35, -18]\) | \(40962625/23667\) | \(2863707\) | \([]\) | \(8064\) | \(-0.071527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443.p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 58443.p do not have complex multiplication.Modular form 58443.2.a.p
sage: E.q_eigenform(10)