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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 435120.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.z1 | 435120z1 | \([0, -1, 0, -13246, 611395]\) | \(-327864720929536/13272738975\) | \(-10405827356400\) | \([]\) | \(1002240\) | \(1.2657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435120.z do not have complex multiplication.Modular form 435120.2.a.z
sage: E.q_eigenform(10)