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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 24400q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24400.c1 | 24400q1 | \([0, 1, 0, 992, -12]\) | \(1685159/976\) | \(-62464000000\) | \([]\) | \(26880\) | \(0.76095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24400q do not have complex multiplication.Modular form 24400.2.a.q
sage: E.q_eigenform(10)