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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 24400m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24400.ba1 | 24400m1 | \([0, -1, 0, 15792, 1226912]\) | \(108879878/226981\) | \(-907924000000000\) | \([]\) | \(97920\) | \(1.5545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24400m do not have complex multiplication.Modular form 24400.2.a.m
sage: E.q_eigenform(10)