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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 13005.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13005.q1 | 13005k1 | \([0, 0, 1, -5763, 24093]\) | \(100471803904/56953125\) | \(11998941328125\) | \([]\) | \(48384\) | \(1.1996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13005.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13005.q do not have complex multiplication.Modular form 13005.2.a.q
sage: E.q_eigenform(10)