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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 75810.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.s1 | 75810u1 | \([1, 1, 0, 55948, 8514174]\) | \(411664745519/900243750\) | \(-42352760333493750\) | \([]\) | \(950400\) | \(1.8746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810.s do not have complex multiplication.Modular form 75810.2.a.s
sage: E.q_eigenform(10)