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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 334620.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.cn1 | 334620cn1 | \([0, 0, 0, -43184232, -99537341319]\) | \(205141966848/20131375\) | \(874013693617461688434000\) | \([]\) | \(66044160\) | \(3.3309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.cn do not have complex multiplication.Modular form 334620.2.a.cn
sage: E.q_eigenform(10)