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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 2450.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2450.s1 | 2450bc1 | \([1, -1, 1, 15, 417]\) | \(1323/256\) | \(-76832000\) | \([]\) | \(1152\) | \(0.19234\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2450.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2450.s do not have complex multiplication.Modular form 2450.2.a.s
sage: E.q_eigenform(10)