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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 379050.di
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.di1 | 379050di1 | \([1, 0, 1, 583729, -446523262]\) | \(28702027/129024\) | \(-98881836605814528000\) | \([]\) | \(12760704\) | \(2.5191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.di do not have complex multiplication.Modular form 379050.2.a.di
sage: E.q_eigenform(10)