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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 254320s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.s1 | 254320s1 | \([0, -1, 0, 4762335, 16170466237]\) | \(6688860068864/67138671875\) | \(-119895831017187500000000\) | \([]\) | \(20563200\) | \(3.1095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254320s do not have complex multiplication.Modular form 254320.2.a.s
sage: E.q_eigenform(10)