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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 152592.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152592.x1 | 152592ca1 | \([0, -1, 0, -445445, -165396327]\) | \(-18939904/11979\) | \(-6182295278970514176\) | \([]\) | \(2467584\) | \(2.3072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152592.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152592.x do not have complex multiplication.Modular form 152592.2.a.x
sage: E.q_eigenform(10)