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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 7623.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7623.q1 | 7623j1 | \([0, 0, 1, -6303, 191947]\) | \(313944395776/1240029\) | \(109381718061\) | \([]\) | \(16896\) | \(0.97541\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7623.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7623.q do not have complex multiplication.Modular form 7623.2.a.q
sage: E.q_eigenform(10)