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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 132600ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.k1 | 132600ch1 | \([0, -1, 0, 25992, -960363]\) | \(7767586344704/6060234375\) | \(-1515058593750000\) | \([]\) | \(580608\) | \(1.6009\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600ch1 has rank \(2\).
Complex multiplication
The elliptic curves in class 132600ch do not have complex multiplication.Modular form 132600.2.a.ch
sage: E.q_eigenform(10)