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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 379050m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.m1 | 379050m1 | \([1, 1, 0, -410825, 253702125]\) | \(-1155865/3528\) | \(-23405472815878125000\) | \([]\) | \(9849600\) | \(2.4033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050m do not have complex multiplication.Modular form 379050.2.a.m
sage: E.q_eigenform(10)