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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 352800.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.ct1 | 352800ct1 | \([0, 0, 0, -91875, 19293750]\) | \(-5400/7\) | \(-111178305000000000\) | \([]\) | \(2764800\) | \(1.9639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 352800.ct do not have complex multiplication.Modular form 352800.2.a.ct
sage: E.q_eigenform(10)