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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 75150s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.l1 | 75150s1 | \([1, -1, 0, 542133, 66765541]\) | \(12376083357091/8520062112\) | \(-12131104061812500000\) | \([]\) | \(2163200\) | \(2.3505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150s do not have complex multiplication.Modular form 75150.2.a.s
sage: E.q_eigenform(10)