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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 385112.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
385112.s1 | 385112s1 | \([0, -1, 0, -167731793, 836179232693]\) | \(13770918300093568000/31622653517\) | \(1198409632237586332928\) | \([]\) | \(43084800\) | \(3.2882\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 385112.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 385112.s do not have complex multiplication.Modular form 385112.2.a.s
sage: E.q_eigenform(10)