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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 97020.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97020.s1 | 97020bh1 | \([0, 0, 0, -9408, 3220868]\) | \(-205520896/9882675\) | \(-4428270758419200\) | \([]\) | \(414720\) | \(1.6822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 97020.s do not have complex multiplication.Modular form 97020.2.a.s
sage: E.q_eigenform(10)