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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 69828.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.x1 | 69828bc1 | \([0, 1, 0, -5466, -250119]\) | \(-7626496/6831\) | \(-16179730524144\) | \([]\) | \(152064\) | \(1.2315\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69828.x do not have complex multiplication.Modular form 69828.2.a.x
sage: E.q_eigenform(10)