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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 160113.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160113.e1 | 160113e1 | \([1, 0, 1, -872211413, -9914800356025]\) | \(-1178642372740721641/90876411\) | \(-5657937214555601305371\) | \([]\) | \(44715888\) | \(3.6216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160113.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160113.e do not have complex multiplication.Modular form 160113.2.a.e
sage: E.q_eigenform(10)