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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 424830.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.z1 | 424830z1 | \([1, 1, 0, -24868, -1863728]\) | \(-2451227230921/720000000\) | \(-499600080000000\) | \([]\) | \(3024000\) | \(1.5350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830.z do not have complex multiplication.Modular form 424830.2.a.z
sage: E.q_eigenform(10)