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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 37830.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37830.s1 | 37830r1 | \([1, 1, 1, -4065, -142305]\) | \(-7428686641756561/4242267095040\) | \(-4242267095040\) | \([]\) | \(90720\) | \(1.1260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37830.s do not have complex multiplication.Modular form 37830.2.a.s
sage: E.q_eigenform(10)