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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 185150.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.m1 | 185150bw1 | \([1, 1, 0, -12735950, -42129363500]\) | \(-158034076225/438790688\) | \(-634343452959000312500000\) | \([]\) | \(25344000\) | \(3.2545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185150.m do not have complex multiplication.Modular form 185150.2.a.m
sage: E.q_eigenform(10)