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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 182070.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182070.q1 | 182070dm1 | \([1, -1, 0, -236745, -50160425]\) | \(-288568081/47250\) | \(-240281708994605250\) | \([]\) | \(2643840\) | \(2.0625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182070.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 182070.q do not have complex multiplication.Modular form 182070.2.a.q
sage: E.q_eigenform(10)