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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 9900s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9900.c1 | 9900s1 | \([0, 0, 0, -69375, 7793750]\) | \(-20261200/2673\) | \(-4871542500000000\) | \([]\) | \(57600\) | \(1.7431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9900s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9900s do not have complex multiplication.Modular form 9900.2.a.s
sage: E.q_eigenform(10)