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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 302330z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.z1 | 302330z1 | \([1, 1, 1, 1175, 23127]\) | \(1524845951/2764160\) | \(-325200659840\) | \([]\) | \(327936\) | \(0.89374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330z do not have complex multiplication.Modular form 302330.2.a.z
sage: E.q_eigenform(10)