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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 79350.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.a1 | 79350o1 | \([1, 1, 0, -573089780, -5121996312240]\) | \(462275813506656695/15850845241344\) | \(713744802322121854078156800\) | \([]\) | \(81607680\) | \(3.9245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.a do not have complex multiplication.Modular form 79350.2.a.a
sage: E.q_eigenform(10)