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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 180336y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180336.c1 | 180336y1 | \([0, -1, 0, -12472, -427664]\) | \(181262952217/36846576\) | \(43616913260544\) | \([]\) | \(456192\) | \(1.3329\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180336y do not have complex multiplication.Modular form 180336.2.a.y
sage: E.q_eigenform(10)