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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 118354q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.p1 | 118354q1 | \([1, -1, 1, -358, 2805]\) | \(-1453888089/73984\) | \(-257538304\) | \([]\) | \(38400\) | \(0.37433\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 118354q do not have complex multiplication.Modular form 118354.2.a.q
sage: E.q_eigenform(10)