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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 306128.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
306128.x1 | 306128x1 | \([0, 1, 0, -842, -43213]\) | \(-87808/1007\) | \(-758003234672\) | \([]\) | \(466560\) | \(0.96143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 306128.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 306128.x do not have complex multiplication.Modular form 306128.2.a.x
sage: E.q_eigenform(10)