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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 94640cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.d1 | 94640cn1 | \([0, 0, 0, -35152, -2541929]\) | \(-368050176/875\) | \(-11420230094000\) | \([]\) | \(651456\) | \(1.3853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94640cn do not have complex multiplication.Modular form 94640.2.a.cn
sage: E.q_eigenform(10)