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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 59150.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59150.a1 | 59150r1 | \([1, -1, 0, -78142, -8389484]\) | \(-19983597574473/3670016\) | \(-9691136000000\) | \([]\) | \(492480\) | \(1.4947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59150.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59150.a do not have complex multiplication.Modular form 59150.2.a.a
sage: E.q_eigenform(10)