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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 234446.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234446.a1 | 234446a1 | \([1, -1, 0, -79, 289]\) | \(54915331401/468892\) | \(468892\) | \([]\) | \(334976\) | \(-0.086976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234446.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 234446.a do not have complex multiplication.Modular form 234446.2.a.a
sage: E.q_eigenform(10)