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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 317900s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.s1 | 317900s1 | \([0, 0, 0, -3400, 76500]\) | \(-3760128/11\) | \(-12716000000\) | \([]\) | \(163296\) | \(0.80938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 317900s do not have complex multiplication.Modular form 317900.2.a.s
sage: E.q_eigenform(10)