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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 215950.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.q1 | 215950a1 | \([1, 0, 0, 4187, -400383]\) | \(519524563319/4740534400\) | \(-74070850000000\) | \([]\) | \(903168\) | \(1.3426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215950.q do not have complex multiplication.Modular form 215950.2.a.q
sage: E.q_eigenform(10)