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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 52416ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52416.e1 | 52416ch1 | \([0, 0, 0, 36, -54]\) | \(110592/91\) | \(-4245696\) | \([]\) | \(10240\) | \(-0.040450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52416ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52416ch do not have complex multiplication.Modular form 52416.2.a.ch
sage: E.q_eigenform(10)