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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 388416.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.s1 | 388416s1 | \([0, -1, 0, -341507, 79802289]\) | \(-14008675513670144/617773369563\) | \(-194247716138433216\) | \([]\) | \(5447680\) | \(2.0824\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388416.s do not have complex multiplication.Modular form 388416.2.a.s
sage: E.q_eigenform(10)