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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 270480.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.s1 | 270480s1 | \([0, -1, 0, -2921, 76245]\) | \(-31400240128/9703125\) | \(-852012000000\) | \([]\) | \(350208\) | \(1.0028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 270480.s do not have complex multiplication.Modular form 270480.2.a.s
sage: E.q_eigenform(10)