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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 249090.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.s1 | 249090s1 | \([1, 1, 0, 7250678, -10997876924]\) | \(130640269019021/237617899920\) | \(-76676373076265628277680\) | \([]\) | \(27287040\) | \(3.0759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249090.s do not have complex multiplication.Modular form 249090.2.a.s
sage: E.q_eigenform(10)