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SageMath
E = EllipticCurve("mp1")
E.isogeny_class()
Elliptic curves in class 310464.mp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.mp1 | 310464mp1 | \([0, 0, 0, 53466, 7749182]\) | \(7393553366528/15625959723\) | \(-35723194064978112\) | \([]\) | \(1775616\) | \(1.8605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.mp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.mp do not have complex multiplication.Modular form 310464.2.a.mp
sage: E.q_eigenform(10)