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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 51376s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.m1 | 51376s1 | \([0, 0, 0, -61220081, -362938057261]\) | \(-328568038616615609088/546688785009341767\) | \(-42220197562914494800504048\) | \([]\) | \(8910720\) | \(3.6079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51376s do not have complex multiplication.Modular form 51376.2.a.s
sage: E.q_eigenform(10)