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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 97104ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.d1 | 97104ce1 | \([0, -1, 0, 4528, 385344]\) | \(103823/714\) | \(-70591382593536\) | \([]\) | \(276480\) | \(1.3390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97104ce do not have complex multiplication.Modular form 97104.2.a.ce
sage: E.q_eigenform(10)