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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 455175s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.s1 | 455175s1 | \([0, 0, 1, -15497625, -24269452344]\) | \(-11977551872/472311\) | \(-16232266186675998046875\) | \([]\) | \(57507840\) | \(3.0305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175s do not have complex multiplication.Modular form 455175.2.a.s
sage: E.q_eigenform(10)