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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 70805.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.s1 | 70805c1 | \([1, 0, 0, -85261, -12166274]\) | \(-14161/5\) | \(-24202006774890245\) | \([]\) | \(481032\) | \(1.8548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70805.s do not have complex multiplication.Modular form 70805.2.a.s
sage: E.q_eigenform(10)