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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 212940.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212940.s1 | 212940w1 | \([0, 0, 0, 48672, -12575628]\) | \(14155776/84035\) | \(-75698593780642560\) | \([]\) | \(1884960\) | \(1.9207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212940.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212940.s do not have complex multiplication.Modular form 212940.2.a.s
sage: E.q_eigenform(10)