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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 79350.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.cz1 | 79350dp1 | \([1, 0, 0, -11488, 478592]\) | \(-20285403817/279936\) | \(-2313846000000\) | \([]\) | \(301056\) | \(1.1789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.cz1 has rank \(2\).
Complex multiplication
The elliptic curves in class 79350.cz do not have complex multiplication.Modular form 79350.2.a.cz
sage: E.q_eigenform(10)