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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 115920.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
115920.m1 | 115920db1 | \([0, 0, 0, 920067, 218177507]\) | \(7384729019637956864/6036585758984375\) | \(-70410736292793750000\) | \([]\) | \(3225600\) | \(2.4962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115920.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 115920.m do not have complex multiplication.Modular form 115920.2.a.m
sage: E.q_eigenform(10)