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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 56350.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.s1 | 56350e1 | \([1, 0, 1, -1179701, -1187617952]\) | \(-158034076225/438790688\) | \(-504133648950312500000\) | \([]\) | \(2304000\) | \(2.6597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56350.s do not have complex multiplication.Modular form 56350.2.a.s
sage: E.q_eigenform(10)