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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 397800.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.m1 | 397800m1 | \([0, 0, 0, -2308875, -1351356250]\) | \(-12603791802222/10793861\) | \(-1165736988000000000\) | \([]\) | \(7925760\) | \(2.3935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800.m do not have complex multiplication.Modular form 397800.2.a.m
sage: E.q_eigenform(10)