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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 13552u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13552.a1 | 13552u1 | \([0, 0, 0, -2035099, 1834370890]\) | \(-8773917273/8605184\) | \(-914212090583988568064\) | \([]\) | \(1140480\) | \(2.7180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13552u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13552u do not have complex multiplication.Modular form 13552.2.a.u
sage: E.q_eigenform(10)