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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 249090.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.m1 | 249090m1 | \([1, 1, 0, -324964987, -2258745217571]\) | \(-11761183294502547619/23178700800000\) | \(-7479481598660265523200000\) | \([]\) | \(160876800\) | \(3.6610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 249090.m do not have complex multiplication.Modular form 249090.2.a.m
sage: E.q_eigenform(10)