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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 94640x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.ck1 | 94640x1 | \([0, 1, 0, -225, -10165]\) | \(-1024/35\) | \(-43248208640\) | \([]\) | \(74880\) | \(0.72114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640x do not have complex multiplication.Modular form 94640.2.a.x
sage: E.q_eigenform(10)