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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 70395.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70395.a1 | 70395f1 | \([0, -1, 1, -23946, 2248652]\) | \(-32278933504/27421875\) | \(-1290086268046875\) | \([]\) | \(550368\) | \(1.5971\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70395.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70395.a do not have complex multiplication.Modular form 70395.2.a.a
sage: E.q_eigenform(10)