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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 377520.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.s1 | 377520s1 | \([0, -1, 0, -134297456, -599014017600]\) | \(-305088363822419089/15974400000\) | \(-14025746467415654400000\) | \([]\) | \(43084800\) | \(3.3181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 377520.s do not have complex multiplication.Modular form 377520.2.a.s
sage: E.q_eigenform(10)