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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 268770.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
268770.q1 | 268770q1 | \([1, 0, 1, 28171, 1001216]\) | \(102437538839/77137920\) | \(-1861921866516480\) | \([]\) | \(1830400\) | \(1.6182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 268770.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 268770.q do not have complex multiplication.Modular form 268770.2.a.q
sage: E.q_eigenform(10)