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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 376712.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.s1 | 376712s1 | \([0, 0, 0, -74431, 7815255]\) | \(10499328\) | \(4343339428624\) | \([]\) | \(811440\) | \(1.4618\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 376712.s do not have complex multiplication.Modular form 376712.2.a.s
sage: E.q_eigenform(10)