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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 355740m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.m1 | 355740m1 | \([0, -1, 0, -19478741, 29165289441]\) | \(234881024/30375\) | \(105699939433822442016000\) | \([]\) | \(31933440\) | \(3.1465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 355740m do not have complex multiplication.Modular form 355740.2.a.m
sage: E.q_eigenform(10)