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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 158400.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
158400.cn1 | 158400no1 | \([0, 0, 0, -2700, -291600]\) | \(-675/11\) | \(-35473489920000\) | \([]\) | \(294912\) | \(1.2812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158400.cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 158400.cn do not have complex multiplication.Modular form 158400.2.a.cn
sage: E.q_eigenform(10)