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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 64400.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.s1 | 64400j1 | \([0, -1, 0, -23408, -1373813]\) | \(-5674076449024/14904575\) | \(-3726143750000\) | \([]\) | \(129024\) | \(1.2875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.s do not have complex multiplication.Modular form 64400.2.a.s
sage: E.q_eigenform(10)