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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 28050.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.p1 | 28050b1 | \([1, 1, 0, 2490, 367380]\) | \(68251027208495/2358592929792\) | \(-58964823244800\) | \([]\) | \(89376\) | \(1.3223\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28050.p do not have complex multiplication.Modular form 28050.2.a.p
sage: E.q_eigenform(10)