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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 414736.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.ch1 | 414736ch1 | \([0, 0, 0, -218228899, -1258941159427]\) | \(-4124632486295808/70140333767\) | \(-19545332683641447742689392\) | \([]\) | \(136249344\) | \(3.6514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414736.ch do not have complex multiplication.Modular form 414736.2.a.ch
sage: E.q_eigenform(10)