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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 310464.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.j1 | 310464j1 | \([0, 0, 0, -1512, 51030]\) | \(-6193152/14641\) | \(-903728726208\) | \([]\) | \(580608\) | \(0.98240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.j do not have complex multiplication.Modular form 310464.2.a.j
sage: E.q_eigenform(10)