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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 100800.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.s1 | 100800cb1 | \([0, 0, 0, -300, 3600]\) | \(-5400/7\) | \(-3870720000\) | \([]\) | \(46080\) | \(0.53276\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 100800.s do not have complex multiplication.Modular form 100800.2.a.s
sage: E.q_eigenform(10)