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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 311696.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.s1 | 311696s1 | \([0, 1, 0, 209411, -158380521]\) | \(1682464768/18941489\) | \(-11433738304422886144\) | \([]\) | \(7096320\) | \(2.3379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.s do not have complex multiplication.Modular form 311696.2.a.s
sage: E.q_eigenform(10)